-
1
-
-
0001392592
-
Differencing of the diffusion equation in lagrangian hydrodynamic codes
-
D. S. Kershaw, "Differencing of the diffusion equation in lagrangian hydrodynamic codes," J. Comput. Phys. 39, 375-395 (1987).
-
(1987)
J. Comput. Phys.
, vol.39
, pp. 375-395
-
-
Kershaw, D.S.1
-
2
-
-
0000898457
-
Homogeneous difference schemes on nonuniform nets
-
Russian
-
A. N. Tikhonov and A. A. Samarskii, "Homogeneous difference schemes on nonuniform nets," Zh. Vychisl. Mat. i Mat. Fiz 2, 812-832 (1962) (Russian).
-
(1962)
Zh. Vychisl. Mat. i Mat. Fiz
, vol.2
, pp. 812-832
-
-
Tikhonov, A.N.1
Samarskii, A.A.2
-
3
-
-
84966245890
-
Supra-convergent schemes on irregular grids
-
H. O. Kreiss, T. A. Manteuffel, B. Swartz, B. Wendroff, and A. B. White, Jr., "Supra-convergent schemes on irregular grids," Math. Comp. 47, 537-554 (1986).
-
(1986)
Math. Comp.
, vol.47
, pp. 537-554
-
-
Kreiss, H.O.1
Manteuffel, T.A.2
Swartz, B.3
Wendroff, B.4
White Jr., A.B.5
-
4
-
-
84966240649
-
The numerical solution of second order boundary value problems on nonuniform meshes
-
T. A. Manteuffel and A. B. White, Jr., "The numerical solution of second order boundary value problems on nonuniform meshes," Math. Comp. 47, 511-535 (1986).
-
(1986)
Math. Comp.
, vol.47
, pp. 511-535
-
-
Manteuffel, T.A.1
White Jr., A.B.2
-
6
-
-
0040010532
-
Analysis of finite volume methods
-
Universite de Pau et des Pays de L'adour, Pau, France
-
J. M. Thomas and D. Trujillo, "Analysis of finite volume methods," Technical Report 19, Universite de Pau et des Pays de L'adour, Pau, France, 1995.
-
(1995)
Technical Report 19
-
-
Thomas, J.M.1
Trujillo, D.2
-
7
-
-
0041197869
-
Convergence of finite volume methods
-
Universite de Pau et des Pays de L'adour, Pau, France
-
J. M. Thomas and D. Trujillo, "Convergence of finite volume methods," Technical Report 20, Universite de Pau et des Pays de L'adour, Pau, France, 1995.
-
(1995)
Technical Report 20
-
-
Thomas, J.M.1
Trujillo, D.2
-
8
-
-
0001198473
-
Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences
-
T. Arbogast, M. F. Wheeler, and I. Yotov, "Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences," SIAM J. Numer. Anal. 34, 828-353 (1997).
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 828-1353
-
-
Arbogast, T.1
Wheeler, M.F.2
Yotov, I.3
-
9
-
-
0001669414
-
On convergence of block-centered finite differences for elliptic problems
-
A. Weiser and M. F. Wheeler, "On convergence of block-centered finite differences for elliptic problems," SIAM J. Numer. Anal. 25, 351-375 (1988).
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 351-375
-
-
Weiser, A.1
Wheeler, M.F.2
-
12
-
-
0001063435
-
On the finite volume element method
-
Z. Cai, "On the finite volume element method," Numer. Math. 58, 713-735 (1991).
-
(1991)
Numer. Math.
, vol.58
, pp. 713-735
-
-
Cai, Z.1
-
13
-
-
34250073797
-
Box schemes on quadrilateral meshes
-
T. Schmidt, "Box schemes on quadrilateral meshes," Computing 51, 271-292 (1993).
-
(1993)
Computing
, vol.51
, pp. 271-292
-
-
Schmidt, T.1
-
14
-
-
0001416923
-
Finite difference schemes on triangular cell-centered grids with local refinement
-
P. S. Vassilevski, S. I. Petrova, and R. D. Lazarov, "Finite difference schemes on triangular cell-centered grids with local refinement," SIAM J. Sci. Stat. Comput. 13, 1287-1313 (1992).
-
(1992)
SIAM J. Sci. Stat. Comput.
, vol.13
, pp. 1287-1313
-
-
Vassilevski, P.S.1
Petrova, S.I.2
Lazarov, R.D.3
-
15
-
-
84985371470
-
An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh
-
R. Herbin, "An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh," Numer. Meth. for Partial Diff. Equat. 11, 165-174 (1995).
-
(1995)
Numer. Meth. for Partial Diff. Equat.
, vol.11
, pp. 165-174
-
-
Herbin, R.1
-
17
-
-
0000561839
-
Finite volume methods and their analysis
-
K. W. Morton and E. Süli, "Finite volume methods and their analysis," IMA J. Numer. Anal. 11, 241-260 (1991).
-
(1991)
IMA J. Numer. Anal.
, vol.11
, pp. 241-260
-
-
Morton, K.W.1
Süli, E.2
-
18
-
-
84968518361
-
Finite volume solutions of convection-diffusion test problems
-
J. A. Mackenzie and K. W. Morton. Finite volume solutions of convection-diffusion test problems. Math. Comp. 60, 189-220, 1992.
-
(1992)
Math. Comp.
, vol.60
, pp. 189-220
-
-
Mackenzie, J.A.1
Morton, K.W.2
-
19
-
-
84968482080
-
The accuracy of cell vertex finite volume methods on quadrilateral meshes
-
E. Süli, "The accuracy of cell vertex finite volume methods on quadrilateral meshes," Math. Comp. 59, 359-382 (1992).
-
(1992)
Math. Comp.
, vol.59
, pp. 359-382
-
-
Süli, E.1
-
22
-
-
0003455090
-
-
Springer, Berlin
-
H. G. Ross, M. Stynes, and L. Tobiska, Numerical Methods for Singularly Perturbed Differential Equations, Springer, Berlin, 1996.
-
(1996)
Numerical Methods for Singularly Perturbed Differential Equations
-
-
Ross, H.G.1
Stynes, M.2
Tobiska, L.3
-
23
-
-
0001218055
-
∞ stability of finite element approximations of elliptic gradient equations
-
∞ stability of finite element approximations of elliptic gradient equations," Numer. Math. 57, 561-575 (1990).
-
(1990)
Numer. Math.
, vol.57
, pp. 561-575
-
-
Kerhoven, T.1
Jerome, J.W.2
-
24
-
-
0026153785
-
Modeling reservoir geometry with irregular grids
-
May
-
Z. E. Heinemann, C. W. Brand, M. Munke, and Y. M. Chen, "Modeling reservoir geometry with irregular grids," SPE Reservoir Engineering, May 1991, pp. 225-232.
-
(1991)
SPE Reservoir Engineering
, pp. 225-232
-
-
Heinemann, Z.E.1
Brand, C.W.2
Munke, M.3
Chen, Y.M.4
-
25
-
-
0028372347
-
Modeling vertical and horizontal wells with voronoi grids
-
C. L. Palagi and K. Aziz, "Modeling vertical and horizontal wells with voronoi grids," SPE Reservoir Engineering, February, 15-21 (1994).
-
(1994)
SPE Reservoir Engineering
, vol.FEBRUARY
, pp. 15-21
-
-
Palagi, C.L.1
Aziz, K.2
-
26
-
-
0007718564
-
An introduction to finite volume methods for linear elliptic equations of second order
-
Friedrich-Alexander University of Erlangen-Nuremberg, Erlangen
-
L. Angermann, "An introduction to finite volume methods for linear elliptic equations of second order," Technical Report No. 163, Friedrich-Alexander University of Erlangen-Nuremberg, Erlangen, 1995.
-
(1995)
Technical Report No. 163
-
-
Angermann, L.1
-
27
-
-
0003796630
-
-
Academic Press, New York
-
R. A. Adams, Sobolev Spaces, Academic Press, New York, 1975.
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
29
-
-
0030395317
-
Relations between FEM and FVM applied to the Poisson equation
-
R. Vanselow, "Relations between FEM and FVM applied to the Poisson equation," Computing 57, 93-104 (1996).
-
(1996)
Computing
, vol.57
, pp. 93-104
-
-
Vanselow, R.1
-
30
-
-
84976826673
-
Voronoi diagrams - A survey of a fundamental geometric data structure
-
F. Aurenhammer, "Voronoi diagrams - A survey of a fundamental geometric data structure," ACM Comput. Surveys, 23, 345-405 (1991).
-
(1991)
ACM Comput. Surveys
, vol.23
, pp. 345-405
-
-
Aurenhammer, F.1
-
31
-
-
0001465710
-
Voronoi diagrams and Delaunay triangulations
-
Computing in Euclidean Geometry, D. Z. Du and F. K. Hwang, editors, World Scientific
-
S. Fortune, "Voronoi diagrams and Delaunay triangulations," in Computing in Euclidean Geometry, Volume 1 of Lecture Notes Series of Computing, D. Z. Du and F. K. Hwang, editors, World Scientific, 1992, pp. 193-233.
-
(1992)
Lecture Notes Series of Computing
, vol.1
, pp. 193-233
-
-
Fortune, S.1
-
33
-
-
0001914423
-
Mesh generation and optimal triangulation
-
Computing in Euclidean Geometry, D. Z. Du and F. K. Hwang, Eds., World Scientific
-
M. Bern and D. Eppstein, "Mesh generation and optimal triangulation," in Computing in Euclidean Geometry, volume 1 of Lecture Notes Series of Computing, D. Z. Du and F. K. Hwang, Eds., World Scientific, 1992, pp. 23-90.
-
(1992)
Lecture Notes Series of Computing
, vol.1
, pp. 23-90
-
-
Bern, M.1
Eppstein, D.2
-
34
-
-
0002804341
-
Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator
-
ACM
-
J. R. Shewchuk, "Triangle: Engineering a 2D quality mesh generator and Delaunay triangulator," in Proc. First Workshop on Applied Computational Geometry, Philadelphia, Pennsylvania, ACM, 1996, pp. 124-133.
-
(1996)
Proc. First Workshop on Applied Computational Geometry, Philadelphia, Pennsylvania
, pp. 124-133
-
-
Shewchuk, J.R.1
-
36
-
-
0001782272
-
On a conservative upwind finite element scheme for convection diffusion equations
-
K. Baba and M. Tabata, "On a conservative upwind finite element scheme for convection diffusion equations," R.A.I.R.O. Analyse numerique/Numerical Anal. 15, 3-25 (1981).
-
(1981)
R.A.I.R.O. Analyse Numerique/Numerical Anal.
, vol.15
, pp. 3-25
-
-
Baba, K.1
Tabata, M.2
-
37
-
-
84985427959
-
An "upwind" finite element scheme for two-dimensional convective transport equations
-
J. C. Heinrich, P. S. Hyakorn, O. C. Zienkiewicz, and A. R. Mitchell," An "upwind" finite element scheme for two-dimensional convective transport equations," Int. J. Num. Meth. Engin. 11, 131-143 (1977).
-
(1977)
Int. J. Num. Meth. Engin.
, vol.11
, pp. 131-143
-
-
Heinrich, J.C.1
Hyakorn, P.S.2
Zienkiewicz, O.C.3
Mitchell, A.R.4
-
39
-
-
0005170881
-
-
Vysshaya Shkola Publishers, Moscow, Russian
-
A. A. Samarskii, R. D. Lazarov, and V. L. Markarov, Difference Schemes for Differential Equations Having Generalized Solutions, Vysshaya Shkola Publishers, Moscow, 1987 (Russian).
-
(1987)
Difference Schemes for Differential Equations Having Generalized Solutions
-
-
Samarskii, A.A.1
Lazarov, R.D.2
Markarov, V.L.3
-
40
-
-
84966249747
-
Local refinement techniques for elliptic problems on cell-centered grids I. Error analysis
-
R. E. Ewing, R. D. Lazarov, and P. S. Vassilevski, "Local refinement techniques for elliptic problems on cell-centered grids I. Error analysis," Math. Comp. 56, 437-461 (1991).
-
(1991)
Math. Comp.
, vol.56
, pp. 437-461
-
-
Ewing, R.E.1
Lazarov, R.D.2
Vassilevski, P.S.3
-
41
-
-
0002013366
-
Finite volume methods for convection-diffusion problems
-
R. D. Lazarov, I. D. Mishev, and P. S. Vassilevski, "Finite volume methods for convection-diffusion problems," SIAM J. Numer. Anal. 33, 31-55 (1996).
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 31-55
-
-
Lazarov, R.D.1
Mishev, I.D.2
Vassilevski, P.S.3
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