-
1
-
-
0003091145
-
On a numerical approach to Stefan-like problems
-
Amiez G., and Gremaud P.A. On a numerical approach to Stefan-like problems. Numer. Math. 59 (1991) 71-89
-
(1991)
Numer. Math.
, vol.59
, pp. 71-89
-
-
Amiez, G.1
Gremaud, P.A.2
-
2
-
-
70350306319
-
Finite volume schemes as non-conforming Petrov-Galerkin approximations of primal-dual mixed formulations
-
Institut für Angewandte Mathematik, Universität Erlangen-Nürnberg
-
Angermann L. Finite volume schemes as non-conforming Petrov-Galerkin approximations of primal-dual mixed formulations. Report #181 (1996), Institut für Angewandte Mathematik, Universität Erlangen-Nürnberg
-
(1996)
Report #181
-
-
Angermann, L.1
-
3
-
-
0004171645
-
Contribution à l'étude des transferts thermiques dans les systèmes complexes, application aux composants électroniques
-
Université de Bordeaux 1
-
Angot P. Contribution à l'étude des transferts thermiques dans les systèmes complexes, application aux composants électroniques. Thesis (1989), Université de Bordeaux 1
-
(1989)
Thesis
-
-
Angot, P.1
-
4
-
-
0029505980
-
Connection between finite volume and mixed finite element methods for a diffusion problem with non constant coefficients, with application to Convection Diffusion
-
Agouzal A., Baranger J., Maitre J.-F., and Oudin F. Connection between finite volume and mixed finite element methods for a diffusion problem with non constant coefficients, with application to Convection Diffusion. East-West J. Numer. Math. 3 4 (1995) 237-254
-
(1995)
East-West J. Numer. Math.
, vol.3
, Issue.4
, pp. 237-254
-
-
Agouzal, A.1
Baranger, J.2
Maitre, J.-F.3
Oudin, F.4
-
5
-
-
0001198473
-
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
-
Arbogast T., Wheeler M.F., and Yotov I. Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. SIAM J. Numer. Anal. 34 2 (1997) 828-852
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.2
, pp. 828-852
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
6
-
-
0001725996
-
A finite difference scheme for melting problems
-
Atthey D.R. A finite difference scheme for melting problems. J. Inst. Math. Appl. 13 (1974) 353-366
-
(1974)
J. Inst. Math. Appl.
, vol.13
, pp. 353-366
-
-
Atthey, D.R.1
-
8
-
-
0004492939
-
Connection between finite volume and mixed finite element methods
-
Baranger J., Maitre J.-F., and Oudin F. Connection between finite volume and mixed finite element methods. Modél. Math. Anal. Numér. 30 3-4 (1996) 444-465
-
(1996)
Modél. Math. Anal. Numér.
, vol.30
, Issue.3-4
, pp. 444-465
-
-
Baranger, J.1
Maitre, J.-F.2
Oudin, F.3
-
10
-
-
21144480820
-
Co-volume methods for degenerate parabolic problems
-
Baughman L.A., and Walkington N.J. Co-volume methods for degenerate parabolic problems. Numer. Math. 64 (1993) 45-67
-
(1993)
Numer. Math.
, vol.64
, pp. 45-67
-
-
Baughman, L.A.1
Walkington, N.J.2
-
11
-
-
4043088491
-
Modélisation tridimensionnelle de la genèse des bassins sédimentaires
-
1996, Ecole Nationale Supérieure des Mines de Paris
-
1996. Belmouhoub R. Modélisation tridimensionnelle de la genèse des bassins sédimentaires. Thesis (1996), Ecole Nationale Supérieure des Mines de Paris
-
(1996)
Thesis
-
-
Belmouhoub, R.1
-
13
-
-
0000701823
-
Positivity versus localization in degenerate diffusion equations
-
Bertsch M., Kersner R., and Peletier L.A. Positivity versus localization in degenerate diffusion equations. Nonlinear Anal. 9 9 (1995) 987-1008
-
(1995)
Nonlinear Anal.
, vol.9
, Issue.9
, pp. 987-1008
-
-
Bertsch, M.1
Kersner, R.2
Peletier, L.A.3
-
14
-
-
33646089812
-
A finite volume projection method for the numerical solution of the incompressible Navier-Stokes equations on triangular grids
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes
-
Botta N., and Hempel D. A finite volume projection method for the numerical solution of the incompressible Navier-Stokes equations on triangular grids. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes 355-363
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 355-363
-
-
Botta, N.1
Hempel, D.2
-
16
-
-
70350325366
-
Numerical modelling of turbulent compressible flows using second order models
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes, Paris
-
Brun G., Hérard J.M., Leal de Sousa L., and Uhlmann M. Numerical modelling of turbulent compressible flows using second order models. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes, Paris 338-346
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 338-346
-
-
Brun, G.1
Hérard, J.M.2
Leal de Sousa, L.3
Uhlmann, M.4
-
17
-
-
0031993890
-
Un schéma simple pour les équations de Saint-Venant
-
Sér. I
-
Sér. I. Buffard T., Gallouët T., and Hérard J.M. Un schéma simple pour les équations de Saint-Venant. C. R. Acad. Sci. Paris 326 (1998) 386-390
-
(1998)
C. R. Acad. Sci. Paris
, vol.326
, pp. 386-390
-
-
Buffard, T.1
Gallouët, T.2
Hérard, J.M.3
-
18
-
-
0001063435
-
On the finite volume element method
-
Cai Z. On the finite volume element method. Numer. Math. 58 (1991) 713-735
-
(1991)
Numer. Math.
, vol.58
, pp. 713-735
-
-
Cai, Z.1
-
19
-
-
0026138971
-
The finite volume element method for diffusion equations on general triangulations
-
Cai Z., Mandel J., and McCormick S. The finite volume element method for diffusion equations on general triangulations. SIAM J. Numer. Anal. 28 2 (1991) 392-402
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, Issue.2
, pp. 392-402
-
-
Cai, Z.1
Mandel, J.2
McCormick, S.3
-
20
-
-
0037615308
-
First and second order schemes for a hyperbolic equation: Convergence and error estimate
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes, Paris
-
Chainais-Hillairet C. First and second order schemes for a hyperbolic equation: Convergence and error estimate. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes, Paris 137-144
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 137-144
-
-
Chainais-Hillairet, C.1
-
21
-
-
0033435427
-
Finite volume schemes for a nonlinear hyperbolic equation
-
Convergence towards the entropy solution and error estimate
-
Chainais-Hillairet C. Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate. M2AN 33 1 (1999) 129-156
-
(1999)
M2AN
, vol.33
, Issue.1
, pp. 129-156
-
-
Chainais-Hillairet, C.1
-
22
-
-
0042301502
-
Convergence d'un schéma décentré amont pour une équation hyperbolique linéaire sur un maillage triangulaire
-
Champier S., and Gallouët T. Convergence d'un schéma décentré amont pour une équation hyperbolique linéaire sur un maillage triangulaire. Modél. Math. Anal. Numér. 26 7 (1992) 835-853
-
(1992)
Modél. Math. Anal. Numér.
, vol.26
, Issue.7
, pp. 835-853
-
-
Champier, S.1
Gallouët, T.2
-
23
-
-
21344489997
-
Convergence of an upstream finite volume scheme on a triangular mesh for a nonlinear hyperbolic equation
-
Champier S., Gallouët T., and Herbin R. Convergence of an upstream finite volume scheme on a triangular mesh for a nonlinear hyperbolic equation. Numer. Math. 66 (1993) 139-157
-
(1993)
Numer. Math.
, vol.66
, pp. 139-157
-
-
Champier, S.1
Gallouët, T.2
Herbin, R.3
-
24
-
-
0003325193
-
Mathematical Models and Finite Element for Reservoir Simulation
-
North-Holland, Paris
-
Chavent G., and Jaffré J. Mathematical Models and Finite Element for Reservoir Simulation. Stud. Math. Appl. (1990), North-Holland, Paris
-
(1990)
Stud. Math. Appl.
-
-
Chavent, G.1
Jaffré, J.2
-
25
-
-
0042736757
-
A Van Leer finite volume scheme for the Euler equations on unstructured meshes
-
Chevrier P., and Galley H. A Van Leer finite volume scheme for the Euler equations on unstructured meshes. Modél. Math. Anal. Numér. 27 2 (1993) 183-201
-
(1993)
Modél. Math. Anal. Numér.
, vol.27
, Issue.2
, pp. 183-201
-
-
Chevrier, P.1
Galley, H.2
-
27
-
-
8544220284
-
Basic error estimates for elliptic problems
-
North-Holland, Amsterdam
-
Ciarlet P.G. Basic error estimates for elliptic problems. Handbook of Numerical Analysis II (1991), North-Holland, Amsterdam 17-352
-
(1991)
Handbook of Numerical Analysis
, vol.II
, pp. 17-352
-
-
Ciarlet, P.G.1
-
28
-
-
0016518469
-
Analyse numérique d'un problème de Stefan à deux phases par une méthode d'éléments finis
-
Ciavaldini J.F. Analyse numérique d'un problème de Stefan à deux phases par une méthode d'éléments finis. SIAM J. Numer. Anal. 12 (1975) 464-488
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 464-488
-
-
Ciavaldini, J.F.1
-
29
-
-
84968494859
-
An error estimate for finite volume methods for multidimensional conservation laws
-
Cockburn B., Coquel F., and LeFloch P. An error estimate for finite volume methods for multidimensional conservation laws. Math. Comp. 63 207 (1994) 77-103
-
(1994)
Math. Comp.
, vol.63
, Issue.207
, pp. 77-103
-
-
Cockburn, B.1
Coquel, F.2
LeFloch, P.3
-
30
-
-
0000805244
-
Convergence of the finite volume method for multidimensional conservation laws
-
Cockburn B., Coquel F., and LeFloch P. Convergence of the finite volume method for multidimensional conservation laws. SIAM J. Numer. Anal. 32 (1995) 687. s-705. s
-
(1995)
SIAM J. Numer. Anal.
, vol.32
-
-
Cockburn, B.1
Coquel, F.2
LeFloch, P.3
-
31
-
-
0030360067
-
A priori error estimates for numerical methods for scalar conservation laws. I. The general approach
-
Cockburn B., and Gremaud P.A. A priori error estimates for numerical methods for scalar conservation laws. I. The general approach. Math. Comp. 65 (1996) 522-554
-
(1996)
Math. Comp.
, vol.65
, pp. 522-554
-
-
Cockburn, B.1
Gremaud, P.A.2
-
32
-
-
0002154319
-
Error estimates for finite element methods for scalar conservation laws
-
Cockburn B., and Gremaud P.A. Error estimates for finite element methods for scalar conservation laws. SIAM J. Numer. Anal. 33 2 (1996) 522-554
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, Issue.2
, pp. 522-554
-
-
Cockburn, B.1
Gremaud, P.A.2
-
33
-
-
0002162479
-
Global solutions of the Cauchy problem for quasi-linear first-order equations in several space variables
-
Conway E., and Smoller J. Global solutions of the Cauchy problem for quasi-linear first-order equations in several space variables. Comm. Pure Appl. Math. 19 (1966) 95-105
-
(1966)
Comm. Pure Appl. Math.
, vol.19
, pp. 95-105
-
-
Conway, E.1
Smoller, J.2
-
34
-
-
0030501943
-
An entropy satisfying MUSCL scheme for systems of conservation laws
-
Coquel F., and LeFloch P. An entropy satisfying MUSCL scheme for systems of conservation laws. Numer. Math. 74 (1996) 1-33
-
(1996)
Numer. Math.
, vol.74
, pp. 1-33
-
-
Coquel, F.1
LeFloch, P.2
-
35
-
-
0001296955
-
Finite element approximation of the diffusion operator on tetrahedra
-
Cordes C., and Putti M. Finite element approximation of the diffusion operator on tetrahedra. SIAM J. Sci. Comput. 19 4 (1998) 1154-1168
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, Issue.4
, pp. 1154-1168
-
-
Cordes, C.1
Putti, M.2
-
37
-
-
0000503940
-
Convergence of a finite volume scheme for a diffusion problem
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes, Amsterdam
-
Coudière Y., Vila J.P., and Villedieu P. Convergence of a finite volume scheme for a diffusion problem. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes, Amsterdam 161-168
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 161-168
-
-
Coudière, Y.1
Vila, J.P.2
Villedieu, P.3
-
38
-
-
0039938830
-
Convergence rate of a finite volume scheme for a two-dimensional convection diffusion problem
-
Coudière Y., Vila J.P., and Villedieu P. Convergence rate of a finite volume scheme for a two-dimensional convection diffusion problem. M2AN 33 3 (1999) 493-516
-
(1999)
M2AN
, vol.33
, Issue.3
, pp. 493-516
-
-
Coudière, Y.1
Vila, J.P.2
Villedieu, P.3
-
39
-
-
0032391431
-
Finite-volume box-schemes on triangular meshes
-
Courbet B., and Croisille J.P. Finite-volume box-schemes on triangular meshes. M2AN 32 5 (1998) 631-649
-
(1998)
M2AN
, vol.32
, Issue.5
, pp. 631-649
-
-
Courbet, B.1
Croisille, J.P.2
-
40
-
-
84966217981
-
Monotone difference approximations for scalar conservation laws
-
Crandall M.G., and Majda A. Monotone difference approximations for scalar conservation laws. Math. Comp. 34 149 (1980) 1-21
-
(1980)
Math. Comp.
, vol.34
, Issue.149
, pp. 1-21
-
-
Crandall, M.G.1
Majda, A.2
-
43
-
-
0021835204
-
Measure-valued solutions to conservation laws
-
DiPerna R. Measure-valued solutions to conservation laws. Arch. Rat. Mech. Anal. 88 (1985) 223-270
-
(1985)
Arch. Rat. Mech. Anal.
, vol.88
, pp. 223-270
-
-
DiPerna, R.1
-
44
-
-
0002447593
-
Boundary conditions for nonlinear hyperbolic systems of conservation laws
-
Dubois F., and LeFloch P. Boundary conditions for nonlinear hyperbolic systems of conservation laws. J. Differential Equations 71 (1988) 93-122
-
(1988)
J. Differential Equations
, vol.71
, pp. 93-122
-
-
Dubois, F.1
LeFloch, P.2
-
46
-
-
0000156657
-
Convergence d'un schéma de type eléments finis - volumes finis pour un système couplé elliptique-hyperbolique
-
Eymard R., and Gallouët T. Convergence d'un schéma de type eléments finis - volumes finis pour un système couplé elliptique-hyperbolique. Modél. Math. Anal. Numér. 27 7 (1993) 843-861
-
(1993)
Modél. Math. Anal. Numér.
, vol.27
, Issue.7
, pp. 843-861
-
-
Eymard, R.1
Gallouët, T.2
-
47
-
-
70350330242
-
Traitement des changements de phase dans la modélisation de gisements pétroliers
-
Eymard R., and Gallouët T. Traitement des changements de phase dans la modélisation de gisements pétroliers. J. Numér. de Besançon (1991)
-
(1991)
J. Numér. de Besançon
-
-
Eymard, R.1
Gallouët, T.2
-
48
-
-
0012915707
-
Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
-
Eymard R., Gallouët T., Ghilani M., and Herbin R. Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes. IMA J. Numer. Anal. 18 (1998) 563-594
-
(1998)
IMA J. Numer. Anal.
, vol.18
, pp. 563-594
-
-
Eymard, R.1
Gallouët, T.2
Ghilani, M.3
Herbin, R.4
-
49
-
-
0001771384
-
Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation
-
Ser. B
-
Ser. B. Eymard R., Gallouët T., and Herbin R. Existence and uniqueness of the entropy solution to a nonlinear hyperbolic equation. Chinese Ann. Math. 16 1 (1995) 1-14
-
(1995)
Chinese Ann. Math.
, vol.16
, Issue.1
, pp. 1-14
-
-
Eymard, R.1
Gallouët, T.2
Herbin, R.3
-
50
-
-
0039526846
-
Convergence of finite volume approximations to the solutions of semilinear convection diffusion reaction equations
-
Eymard R., Gallouët T., and Herbin R. Convergence of finite volume approximations to the solutions of semilinear convection diffusion reaction equations. Numer. Math. 82 (1999) 91-116
-
(1999)
Numer. Math.
, vol.82
, pp. 91-116
-
-
Eymard, R.1
Gallouët, T.2
Herbin, R.3
-
51
-
-
0007057886
-
Convergence d'un schéma implicite de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
-
Ser. I
-
Ser. I. Eymard R., and Ghilani M. Convergence d'un schéma implicite de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique. C. R. Acad. Sci. Paris 319 (1994) 1095-1100
-
(1994)
C. R. Acad. Sci. Paris
, vol.319
, pp. 1095-1100
-
-
Eymard, R.1
Ghilani, M.2
-
52
-
-
3643120260
-
Modélisation bidimensionnelle de la genèse et la migration des hydrocarbures dans un bassin sédimentaire
-
Université de Grenoble
-
Faille I. Modélisation bidimensionnelle de la genèse et la migration des hydrocarbures dans un bassin sédimentaire. Thesis (1992), Université de Grenoble
-
(1992)
Thesis
-
-
Faille, I.1
-
53
-
-
0026941142
-
A control volume method to solve an elliptic equation on a two-dimensional irregular meshing
-
Faille I. A control volume method to solve an elliptic equation on a two-dimensional irregular meshing. Comput. Methods Appl. Mech. Engrg. 100 (1992) 275-290
-
(1992)
Comput. Methods Appl. Mech. Engrg.
, vol.100
, pp. 275-290
-
-
Faille, I.1
-
54
-
-
0033082107
-
A rough finite volume scheme for modeling two-phase flow in a pipeline
-
Faille I., and Heintzé E. A rough finite volume scheme for modeling two-phase flow in a pipeline. Computers and Fluids 28 (1999) 213-241
-
(1999)
Computers and Fluids
, vol.28
, pp. 213-241
-
-
Faille, I.1
Heintzé, E.2
-
56
-
-
0000300093
-
On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems
-
Feistauer M., Felcman J., and Lukacova-Medvidova M. On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Numer. Methods Partial Differential Equations 13 (1997) 163-190
-
(1997)
Numer. Methods Partial Differential Equations
, vol.13
, pp. 163-190
-
-
Feistauer, M.1
Felcman, J.2
Lukacova-Medvidova, M.3
-
57
-
-
0344100862
-
Simulation numérique d'écoulements réactifs à petit nombre de Mach
-
Université de Nice
-
Fernandez G. Simulation numérique d'écoulements réactifs à petit nombre de Mach. Thèse de Doctorat (1989), Université de Nice
-
(1989)
Thèse de Doctorat
-
-
Fernandez, G.1
-
58
-
-
0005991839
-
Résolution numérique des équations de Navier-Stokes pour un Fluide Compressible en Maillage Triangulaire
-
Fezoui L., Lanteri S., Larrouturou B., and Olivier C. Résolution numérique des équations de Navier-Stokes pour un Fluide Compressible en Maillage Triangulaire. INRIA Rept. 1033 (1989)
-
(1989)
INRIA Rept. 1033
-
-
Fezoui, L.1
Lanteri, S.2
Larrouturou, B.3
Olivier, C.4
-
59
-
-
70350328366
-
Modélisation mathématique et simulation numérique des piles au gaz naturel à oxyde solide
-
Université de Chambéry
-
Fiard J.M. Modélisation mathématique et simulation numérique des piles au gaz naturel à oxyde solide. thèse de Doctorat (1994), Université de Chambéry
-
(1994)
thèse de Doctorat
-
-
Fiard, J.M.1
-
60
-
-
0028427165
-
Comparison between finite volume finite element methods for the numerical simulation of an elliptic problem arising in electrochemical engineering
-
Fiard J.M., and Herbin R. Comparison between finite volume finite element methods for the numerical simulation of an elliptic problem arising in electrochemical engineering. Comput. Methods Appl. Mech. Engrg. 115 (1994) 315-338
-
(1994)
Comput. Methods Appl. Mech. Engrg.
, vol.115
, pp. 315-338
-
-
Fiard, J.M.1
Herbin, R.2
-
62
-
-
0000370771
-
A control volume finite element approach to NAPL groundwater contamination
-
Forsyth P.A. A control volume finite element approach to NAPL groundwater contamination. SIAM J. Sci. Statist. Comput. 12 5 (1991) 1029-1057
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, Issue.5
, pp. 1029-1057
-
-
Forsyth, P.A.1
-
63
-
-
0000035056
-
Quadratic convergence for cell-centered grids
-
Forsyth P.A., and Sammon P.H. Quadratic convergence for cell-centered grids. Appl. Numer. Math. 4 (1988) 377-394
-
(1988)
Appl. Numer. Math.
, vol.4
, pp. 377-394
-
-
Forsyth, P.A.1
Sammon, P.H.2
-
64
-
-
70350289592
-
Rough schemes for systems for complex hyperbolic systems
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes
-
Gallouët T. Rough schemes for systems for complex hyperbolic systems. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes 10-21
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 10-21
-
-
Gallouët, T.1
-
65
-
-
0010771910
-
A uniqueness result for measure valued solutions of a nonlinear hyperbolic equations
-
Gallouët T., and Herbin R. A uniqueness result for measure valued solutions of a nonlinear hyperbolic equations. Int. Diff. Int. Equations 6 6 (1994) 1383-1394
-
(1994)
Int. Diff. Int. Equations
, vol.6
, Issue.6
, pp. 1383-1394
-
-
Gallouët, T.1
Herbin, R.2
-
66
-
-
70350314210
-
-
Gallouët, T., R. Herbin and M.H.^Vignal, Error estimate for the approximate finite solutions of convection diffusion equations with Dirichlet, Neumann or Fourier boundary conditions, to appear in SIAM J. Numer. Anal.
-
Gallouët, T., R. Herbin and M.H.^Vignal, Error estimate for the approximate finite volume solutions of convection diffusion equations with Dirichlet, Neumann or Fourier boundary conditions, to appear in SIAM J. Numer. Anal.
-
-
-
-
68
-
-
0001235857
-
Une méthode "volumes finis" à flux caractéristiques pour la résolution numérique de lois de conservation
-
Sér. I
-
Sér. I. Ghidaglia J.M., Kumbaro A., and Le Coq G. Une méthode "volumes finis" à flux caractéristiques pour la résolution numérique de lois de conservation. C. R. Acad. Sci. Paris 332 (1996) 981-988
-
(1996)
C. R. Acad. Sci. Paris
, vol.332
, pp. 981-988
-
-
Ghidaglia, J.M.1
Kumbaro, A.2
Le Coq, G.3
-
70
-
-
85114329546
-
Numerical Approximation of Hyperbolic Systems of Conservation Laws
-
Springer
-
Godlewski E., and Raviart P.A. Numerical Approximation of Hyperbolic Systems of Conservation Laws. Appl. Math. Sci. 118 (1996), Springer
-
(1996)
Appl. Math. Sci.
, vol.118
-
-
Godlewski, E.1
Raviart, P.A.2
-
73
-
-
0031540168
-
An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem
-
Guo W., and Stynes M. An analysis of a cell-vertex finite volume method for a parabolic convection-diffusion problem. Math. Comp. 66 217 (1997) 105-124
-
(1997)
Math. Comp.
, vol.66
, Issue.217
, pp. 105-124
-
-
Guo, W.1
Stynes, M.2
-
74
-
-
40749159424
-
On a class of high resolution total-variation-stable finite-difference schemes
-
Harten A. On a class of high resolution total-variation-stable finite-difference schemes. J. Comput. Phys. 49 (1983) 357-393
-
(1983)
J. Comput. Phys.
, vol.49
, pp. 357-393
-
-
Harten, A.1
-
75
-
-
0000876320
-
On upstream differencing and Godunov-type schemes for hyperbolic conservations laws
-
Harten A., Lax P.D., and Van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservations laws. SIAM Rev. 25 (1983) 35-61
-
(1983)
SIAM Rev.
, vol.25
, pp. 35-61
-
-
Harten, A.1
Lax, P.D.2
Van Leer, B.3
-
76
-
-
84980170156
-
On finite difference approximations and entropy conditions
-
Harten A., Hyman J.M., and Lax P.D. On finite difference approximations and entropy conditions. Comm. Pure Appl. Math. 29 (1976) 297-322
-
(1976)
Comm. Pure Appl. Math.
, vol.29
, pp. 297-322
-
-
Harten, A.1
Hyman, J.M.2
Lax, P.D.3
-
77
-
-
70350315837
-
Finite Diference Methods on Irregular Networks
-
Birkhauser
-
Heinrich B. Finite Diference Methods on Irregular Networks. I.S.N.M. 82 (1986), Birkhauser
-
(1986)
I.S.N.M.
, vol.82
-
-
Heinrich, B.1
-
78
-
-
84985371470
-
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh
-
Herbin R. An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh. Numer. Methods Partial Differential Equations 11 (1995) 165-173
-
(1995)
Numer. Methods Partial Differential Equations
, vol.11
, pp. 165-173
-
-
Herbin, R.1
-
79
-
-
0001968875
-
Finite volume methods for diffusion convection equations on general meshes
-
Benkhaldoun F., and Vilsmeicr R. (Eds), Hermes
-
Herbin R. Finite volume methods for diffusion convection equations on general meshes. In: Benkhaldoun F., and Vilsmeicr R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes 153-160
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 153-160
-
-
Herbin, R.1
-
80
-
-
0031188934
-
Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes
-
Herbin R., and Labergerie O. Finite volume schemes for elliptic and elliptic-hyperbolic problems on triangular meshes. Comput. Methods Appl. Mech. Engrg. 147 (1997) 85-103
-
(1997)
Comput. Methods Appl. Mech. Engrg.
, vol.147
, pp. 85-103
-
-
Herbin, R.1
Labergerie, O.2
-
82
-
-
0000608193
-
On the Stefan problem
-
(1961 in Russian)
-
(1961 in Russian). Kamenomostskaja S.L. On the Stefan problem. Mat. Sb. 53 (1995) 489-514
-
(1995)
Mat. Sb.
, vol.53
, pp. 489-514
-
-
Kamenomostskaja, S.L.1
-
83
-
-
0000958123
-
A new difference sheme for parabolic problems
-
Hubbard B. (Ed), Academic Press
-
Keller H.B. A new difference sheme for parabolic problems. In: Hubbard B. (Ed). Numerical Solutions of Partial Differential Equations II (1971), Academic Press 327-350
-
(1971)
Numerical Solutions of Partial Differential Equations
, vol.II
, pp. 327-350
-
-
Keller, H.B.1
-
84
-
-
0004186233
-
Numerical Schemes for Conservation Laws in Two Dimensions
-
B.G. Teubner, Stuttgart, Wiley, Ltd., New York
-
B.G. Teubner, Stuttgart. Kröner D. Numerical Schemes for Conservation Laws in Two Dimensions. Wiley-Teubner Series Advances in Numerical Mathematics (1997), Wiley, Ltd., New York
-
(1997)
Wiley-Teubner Series Advances in Numerical Mathematics
-
-
Kröner, D.1
-
85
-
-
0028413621
-
Convergence of upwind finite volume schemes on unstructured grids for scalar conservation laws in two dimensions
-
Kröner D., and Rokyta M. Convergence of upwind finite volume schemes on unstructured grids for scalar conservation laws in two dimensions. SIAM J. Numer. Anal. 31 2 (1994) 324-343
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, Issue.2
, pp. 324-343
-
-
Kröner, D.1
Rokyta, M.2
-
86
-
-
4243409039
-
Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions
-
Kröner D., Noelle S., and Rokyta M. Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions. Numer. Math. 71 (1995) 527-560
-
(1995)
Numer. Math.
, vol.71
, pp. 527-560
-
-
Kröner, D.1
Noelle, S.2
Rokyta, M.3
-
87
-
-
84956238079
-
First Order quasilinear equations with several space variables
-
Krushkov S.N. First Order quasilinear equations with several space variables. Math. USSR Sb. 10 (1970) 217-243
-
(1970)
Math. USSR Sb.
, vol.10
, pp. 217-243
-
-
Krushkov, S.N.1
-
88
-
-
33644760207
-
Modélisation, analyse mathématique et numérique des modèles bi-fluides d'écoulement diphasique
-
Université Paris XI Orsay, Chichester
-
Kumbaro A. Modélisation, analyse mathématique et numérique des modèles bi-fluides d'écoulement diphasique. Thesis (1992), Université Paris XI Orsay, Chichester
-
(1992)
Thesis
-
-
Kumbaro, A.1
-
89
-
-
0001161125
-
Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
-
Kuznetsov. Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation. USSR Comput. Math. and Math. Phys. 16 (1976) 105-119
-
(1976)
USSR Comput. Math. and Math. Phys.
, vol.16
, pp. 105-119
-
-
Kuznetsov1
-
91
-
-
0002848871
-
Finite volume methods for reaction diffusion problems
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes
-
Lazarov R.D., and Mishev I.D. Finite volume methods for reaction diffusion problems. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes 233-240
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 233-240
-
-
Lazarov, R.D.1
Mishev, I.D.2
-
94
-
-
0003280262
-
Mathematical Topics in Fluid Mechanics; Vol. 1: Incompressible Models
-
Oxford Univ. Press
-
Lions P.L. Mathematical Topics in Fluid Mechanics; Vol. 1: Incompressible Models. Oxford Lecture Series in Math. and Its Appl. 3 (1996), Oxford Univ. Press
-
(1996)
Oxford Lecture Series in Math. and Its Appl.
, vol.3
-
-
Lions, P.L.1
-
95
-
-
84968518361
-
Finite volume solutions of convection-diffusion test problems
-
Mackenzie J.A., and Morton K.W. Finite volume solutions of convection-diffusion test problems. Math. Comp. 60 201 (1992) 189-220
-
(1992)
Math. Comp.
, vol.60
, Issue.201
, pp. 189-220
-
-
Mackenzie, J.A.1
Morton, K.W.2
-
96
-
-
84966240649
-
The numerical solution of second order boundary value problem on non uniform meshes
-
Manteuffel T., and White A.B. The numerical solution of second order boundary value problem on non uniform meshes. Math. Comp. 47 (1986) 511-536
-
(1986)
Math. Comp.
, vol.47
, pp. 511-536
-
-
Manteuffel, T.1
White, A.B.2
-
97
-
-
4243661076
-
Quelques méthodes numériques pour les écoulements diphasiques bi-fluide en conduites petrolières
-
Université Paris VI
-
Masella J.M. Quelques méthodes numériques pour les écoulements diphasiques bi-fluide en conduites petrolières. Thesis (1997), Université Paris VI
-
(1997)
Thesis
-
-
Masella, J.M.1
-
100
-
-
0000735079
-
Multidimensional Stefan problems
-
Meyer G.H. Multidimensional Stefan problems. SIAM J. Numer. Anal. 10 (1973) 522-538
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 522-538
-
-
Meyer, G.H.1
-
103
-
-
0000561839
-
Finite volume methods and their analysis
-
Morton K.W., and Süli E. Finite volume methods and their analysis. IMA J. Numer. Anal. 11 (1991) 241-260
-
(1991)
IMA J. Numer. Anal.
, vol.11
, pp. 241-260
-
-
Morton, K.W.1
Süli, E.2
-
104
-
-
0031499994
-
Analysis of a cell-vertex finite volume method for a convection-diffusion problems
-
Morton K.W., Stynes M., and Süli E. Analysis of a cell-vertex finite volume method for a convection-diffusion problems. Math. Comp. 66 220 (1997) 1389-1406
-
(1997)
Math. Comp.
, vol.66
, Issue.220
, pp. 1389-1406
-
-
Morton, K.W.1
Stynes, M.2
Süli, E.3
-
106
-
-
0026981258
-
Analysis and convergence of the MAC scheme I. The linear problem
-
Nicolaides R.A. Analysis and convergence of the MAC scheme I. The linear problem. SIAM J. Numer. Anal. 29 6 (1992) 1579-1591
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, Issue.6
, pp. 1579-1591
-
-
Nicolaides, R.A.1
-
107
-
-
0030364597
-
Analysis and convergence of the MAC scheme II. Navier-Stokes equations
-
Nicolaides R.A., and Wu X. Analysis and convergence of the MAC scheme II. Navier-Stokes equations. Math. Comp. 65 213 (1996) 29-44
-
(1996)
Math. Comp.
, vol.65
, Issue.213
, pp. 29-44
-
-
Nicolaides, R.A.1
Wu, X.2
-
108
-
-
0030372775
-
A note on entropy inequalities and error estimates for higher-order accurate finite volume schemes on irregular grids
-
Noëlle S. A note on entropy inequalities and error estimates for higher-order accurate finite volume schemes on irregular grids. Math. Comp. 65 (1996) 1155-1163
-
(1996)
Math. Comp.
, vol.65
, pp. 1155-1163
-
-
Noëlle, S.1
-
109
-
-
70350302044
-
Finite elements: An introduction
-
North-Holland, Paris
-
Oden J.T. Finite elements: An introduction. Handbook of Numerical Analysis II (1991), North-Holland, Paris 3-15
-
(1991)
Handbook of Numerical Analysis
, vol.II
, pp. 3-15
-
-
Oden, J.T.1
-
110
-
-
0000859294
-
A method of solution of the general Stefan problem
-
Oleinik O.A. A method of solution of the general Stefan problem. Soviet Math. Dokl. 1 (1960) 1350-1354
-
(1960)
Soviet Math. Dokl.
, vol.1
, pp. 1350-1354
-
-
Oleinik, O.A.1
-
111
-
-
0002717472
-
On discontinuous solutions of nonlinear differential equations
-
Ser. 2
-
Ser. 2. Oleinik O.A. On discontinuous solutions of nonlinear differential equations. Amer. Math. Soc. Transl. 26 (1963) 95-172
-
(1963)
Amer. Math. Soc. Transl.
, vol.26
, pp. 95-172
-
-
Oleinik, O.A.1
-
112
-
-
0021413939
-
Riemann solvers, the entropy condition, and difference approximations
-
Osher S. Riemann solvers, the entropy condition, and difference approximations. SIAM J. Numer. Anal. 21 (1984) 217-235
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 217-235
-
-
Osher, S.1
-
114
-
-
0347606985
-
Sur quelques schémas numériques pour la résolution des écoulements diphasiques en milieux poreux
-
Université de Paris 6
-
Pfertzel A. Sur quelques schémas numériques pour la résolution des écoulements diphasiques en milieux poreux. Thesis (1987), Université de Paris 6
-
(1987)
Thesis
-
-
Pfertzel, A.1
-
116
-
-
0005071955
-
The use of Riemann problem in finite difference schemes
-
Roe P.L. The use of Riemann problem in finite difference schemes. Lectures Notes in Phys. 141 (1980) 354-359
-
(1980)
Lectures Notes in Phys.
, vol.141
, pp. 354-359
-
-
Roe, P.L.1
-
117
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors, and difference schemes
-
Roe P.L. Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43 (1981) 357-372
-
(1981)
J. Comput. Phys.
, vol.43
, pp. 357-372
-
-
Roe, P.L.1
-
119
-
-
0039073001
-
On monotone difference schemes for elliptic and parabolic equations in the case of a nonselfadjoint elliptic operator
-
(Russian)
-
(Russian). Samarski A.A. On monotone difference schemes for elliptic and parabolic equations in the case of a nonselfadjoint elliptic operator. Zh. Vychisl. Mat. i. Mat. Fiz. 5 (1965) 548-551
-
(1965)
Zh. Vychisl. Mat. i. Mat. Fiz.
, vol.5
, pp. 548-551
-
-
Samarski, A.A.1
-
122
-
-
84966203226
-
On the convergence of monotone finite difference schemes with variable spatial differencing
-
Sanders R. On the convergence of monotone finite difference schemes with variable spatial differencing. Math. Comp. 40 161 (1983) 91-106
-
(1983)
Math. Comp.
, vol.40
, Issue.161
, pp. 91-106
-
-
Sanders, R.1
-
123
-
-
0001356712
-
The node-centered finite volume approach: Bridge between finite differences and finite elements
-
Selmin V. The node-centered finite volume approach: Bridge between finite differences and finite elements. Comput. Methods Appl. Mech. Engrg. 102 (1993) 107-138
-
(1993)
Comput. Methods Appl. Mech. Engrg.
, vol.102
, pp. 107-138
-
-
Selmin, V.1
-
126
-
-
2942705023
-
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
-
Sod G.A. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comput. Phys. 27 (1978) 1-31
-
(1978)
J. Comput. Phys.
, vol.27
, pp. 1-31
-
-
Sod, G.A.1
-
127
-
-
0027239318
-
Mathematical and numerical properties of control-volume finite-element scheme for reservoir simulation
-
12th Symposium on Reservoir Simulation. New Orleans
-
Sonier F., and Eymard R. Mathematical and numerical properties of control-volume finite-element scheme for reservoir simulation. 12th Symposium on Reservoir Simulation. New Orleans. Paper SPE 25267 (1993)
-
(1993)
Paper SPE 25267
-
-
Sonier, F.1
Eymard, R.2
-
128
-
-
84968482080
-
The accuracy of cell vertex finite volume methods on quadrilateral meshes
-
Süli E. The accuracy of cell vertex finite volume methods on quadrilateral meshes. Math. Comp. 59 200 (1992) 359-382
-
(1992)
Math. Comp.
, vol.59
, Issue.200
, pp. 359-382
-
-
Süli, E.1
-
129
-
-
0001137470
-
An existence result for scalar conservation laws using measure valued solutions
-
Szepessy A. An existence result for scalar conservation laws using measure valued solutions. Comm. Partial Differential Equations 14 10 (1989) 1329-1350
-
(1989)
Comm. Partial Differential Equations
, vol.14
, Issue.10
, pp. 1329-1350
-
-
Szepessy, A.1
-
131
-
-
0000898457
-
Homogeneous difference schemes on nonuniform nets
-
(Russian)
-
(Russian). Tichonov A.N., and Samarskii A.A. Homogeneous difference schemes on nonuniform nets. Zh. Vychisl. Mat. i. Mat. Fiz. 2 (1962) 812-832
-
(1962)
Zh. Vychisl. Mat. i. Mat. Fiz.
, vol.2
, pp. 812-832
-
-
Tichonov, A.N.1
Samarskii, A.A.2
-
132
-
-
0004095586
-
Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes
-
Université Pierre et Marie Curie, Amsterdam
-
Thomas J.M. Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes. Thesis (1977), Université Pierre et Marie Curie, Amsterdam
-
(1977)
Thesis
-
-
Thomas, J.M.1
-
133
-
-
4244077265
-
Finite differences for linear parabolic equations
-
North-Holland
-
Thomée V. Finite differences for linear parabolic equations. Handbook of Numerical Analysis I (1991), North-Holland 5-196
-
(1991)
Handbook of Numerical Analysis
, vol.I
, pp. 5-196
-
-
Thomée, V.1
-
134
-
-
45949116154
-
Preconditioned methods for solving the imcompressible and low speed compressible equations
-
Turkel E. Preconditioned methods for solving the imcompressible and low speed compressible equations. J. Comput. Phys. 72 (1987) 277-298
-
(1987)
J. Comput. Phys.
, vol.72
, pp. 277-298
-
-
Turkel, E.1
-
135
-
-
34249988639
-
Towards the ultimate conservative difference scheme, II. Monotonicity and conservation combined in a second-order scheme
-
Van Leer B. Towards the ultimate conservative difference scheme, II. Monotonicity and conservation combined in a second-order scheme. J. Comput. Phys. 14 (1974) 361-370
-
(1974)
J. Comput. Phys.
, vol.14
, pp. 361-370
-
-
Van Leer, B.1
-
136
-
-
49449129017
-
Towards the ultimate conservative difference scheme, IV. A new approach to numerical convection
-
Van Leer B. Towards the ultimate conservative difference scheme, IV. A new approach to numerical convection. J. Comput. Phys. 23 (1977) 276-299
-
(1977)
J. Comput. Phys.
, vol.23
, pp. 276-299
-
-
Van Leer, B.1
-
137
-
-
2442433925
-
Towards the ultimate conservative difference scheme, V
-
Van Leer B. Towards the ultimate conservative difference scheme, V. J. Comput. Phys. 32 (1979) 101-136
-
(1979)
J. Comput. Phys.
, vol.32
, pp. 101-136
-
-
Van Leer, B.1
-
138
-
-
0041158524
-
Relations between FEM and FVM
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes, Amsterdam
-
Vanselow R. Relations between FEM and FVM. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes, Amsterdam 217-223
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 217-223
-
-
Vanselow, R.1
-
139
-
-
0001416923
-
Finite difference schemes on triangular cell-centered grids with local refinement
-
Vassileski P.S., Petrova S.I., and Lazarov R.D. Finite difference schemes on triangular cell-centered grids with local refinement. SIAM J. Sci. Statist. Comput. 13 6 (1992) 1287-1313
-
(1992)
SIAM J. Sci. Statist. Comput.
, vol.13
, Issue.6
, pp. 1287-1313
-
-
Vassileski, P.S.1
Petrova, S.I.2
Lazarov, R.D.3
-
140
-
-
0030355276
-
Convergence of a finite volume scheme for a system of an elliptic equation and a hyperbolic equation
-
Vignal M.H. Convergence of a finite volume scheme for a system of an elliptic equation and a hyperbolic equation. Modél. Math. Anal. Numér. 30 7 (1996) 841-872
-
(1996)
Modél. Math. Anal. Numér.
, vol.30
, Issue.7
, pp. 841-872
-
-
Vignal, M.H.1
-
141
-
-
0009843067
-
Convergence of finite volumes schemes for an elliptic hyperbolic system with boundary conditions
-
Benkhaldoun F., and Vilsmeier R. (Eds), Hermes, Paris
-
Vignal M.H. Convergence of finite volumes schemes for an elliptic hyperbolic system with boundary conditions. In: Benkhaldoun F., and Vilsmeier R. (Eds). Finite Volumes for Complex Applications, Problems and Perspectives (1996), Hermes, Paris 145-152
-
(1996)
Finite Volumes for Complex Applications, Problems and Perspectives
, pp. 145-152
-
-
Vignal, M.H.1
-
142
-
-
0040598858
-
Numerical and theoretical study of a dual mesh method using finite volume schemes for two phase flow problems in porous media
-
Vignal M.H., and Verdière S. Numerical and theoretical study of a dual mesh method using finite volume schemes for two phase flow problems in porous media. Numer. Math. 80 4 (1998) 601-639
-
(1998)
Numer. Math.
, vol.80
, Issue.4
, pp. 601-639
-
-
Vignal, M.H.1
Verdière, S.2
-
144
-
-
0001613507
-
Convergence and error estimate in finite volume schemes for general multidimensional conservation laws, I. Explicit monotone schemes
-
Vila J.P. Convergence and error estimate in finite volume schemes for general multidimensional conservation laws, I. Explicit monotone schemes. Modél. Math. Anal. Numér. 28 3 (1994) 267-285
-
(1994)
Modél. Math. Anal. Numér.
, vol.28
, Issue.3
, pp. 267-285
-
-
Vila, J.P.1
-
145
-
-
0001168879
-
The spaces BV and quasilinear equations
-
Vol'pert A.I. The spaces BV and quasilinear equations. Math. USSR Sb. 2 (1967) 225-267
-
(1967)
Math. USSR Sb.
, vol.2
, pp. 225-267
-
-
Vol'pert, A.I.1
-
146
-
-
0001669414
-
On convergence of block-centered finite-differences for elliptic problems
-
Weiser A., and Wheeler M.F. On convergence of block-centered finite-differences for elliptic problems. SIAM J. Numer. Anal. 25 (1988) 351-375
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 351-375
-
-
Weiser, A.1
Wheeler, M.F.2
|