-
1
-
-
0003362526
-
Sobolev spaces
-
Academic Press, New York
-
R. A. ADAMS, Sobolev spaces, in Pure and Applied Mathematics, Vol. 65, Academic Press, New York, 1975.
-
(1975)
Pure and Applied Mathematics
, vol.65
-
-
Adams, R.A.1
-
2
-
-
0042255750
-
A unified approach to a posteriori error estimation using element residual methods
-
M. AINSWORTH AND J. T. ODEN, A unified approach to a posteriori error estimation using element residual methods, Numer. Math., 65 (1993), pp. 23-50.
-
(1993)
Numer. Math.
, vol.65
, pp. 23-50
-
-
Ainsworth, M.1
Oden, J.T.2
-
3
-
-
0001476939
-
Mixed finite element methods on non-matching multiblock grids
-
T. ARBOGAST, L. C. COWSAR, M. F. WHEELER, AND I. YOTOV, Mixed finite element methods on non-matching multiblock grids, SIAM J. Numer. Anal., 37 (2000), pp. 1295-1315.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 1295-1315
-
-
Arbogast, T.1
Cowsar, L.C.2
Wheeler, M.F.3
Yotov, I.4
-
4
-
-
0001804939
-
Mixed and nonconforming finite element methods: Implemen-tation, postprocessing and error estimates
-
D. N. ARNOLD AND F. BREZZI, Mixed and nonconforming finite element methods: Implemen-tation, postprocessing and error estimates, RAIRO Model. Math. Anal. Numer., 19 (1985),pp. 7-32.
-
(1985)
RAIRO Model. Math. Anal. Numer.
, vol.19
, pp. 7-32
-
-
Arnold, D.N.1
Brezzi, F.2
-
5
-
-
0000613724
-
Error estimates for adaptive finite element computations
-
I. BABUSKA AND W. C. RHEINBOLDT, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal., 15 (1978), pp. 736-754.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 736-754
-
-
Babuska, I.1
Rheinboldt, W.C.2
-
7
-
-
84966215690
-
Some a posteriori error estimators for elliptic partial differential equations
-
R. E. BANK AND A. WEISER, Some a posteriori error estimators for elliptic partial differential equations, Math. Comp., 44 (1985), pp. 283-301.
-
(1985)
Math. Comp.
, vol.44
, pp. 283-301
-
-
Bank, R.E.1
Weiser, A.2
-
8
-
-
0041800397
-
The mortar finite element method with Lagrange multipliers
-
F. BEN BELGACEM, The mortar finite element method with Lagrange multipliers, Numer. Math., 84 (1999), pp. 173-197.
-
(1999)
Numer. Math.
, vol.84
, pp. 173-197
-
-
Ben Belgacem, F.1
-
9
-
-
0001476937
-
The mixed mortar finite element method for the incompressible Stokes problem: Convergence analysis
-
F. BEN BELGACEM, The mixed mortar finite element method for the incompressible Stokes problem: Convergence analysis, SIAM J. Numer. Anal., 37 (2000), pp. 1085-1100.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 1085-1100
-
-
Ben Belgacem, F.1
-
10
-
-
0002336587
-
A new nonconforming approach to domain decomposition: The mortar element method
-
H. Brezis and J. L. Lions, eds., Longman Scientific and Technical, Harlow, UK
-
C. BERNARDI, Y. MADAY, AND A. T. PATERA, A new nonconforming approach to domain decomposition: The mortar element method, in Nonlinear Partial Differential Equations and Their Applications, H. Brezis and J. L. Lions, eds., Longman Scientific and Technical, Harlow, UK, 1994, pp. 13-51.
-
(1994)
Nonlinear Partial Differential Equations and Their Applications
, pp. 13-51
-
-
Bernardi, C.1
Maday, Y.2
Patera, A.T.3
-
11
-
-
0000518260
-
A posteriori error estimators for the Raviart-Thomas element
-
D. BRAESS AND R. VERFÜRTH, A posteriori error estimators for the Raviart-Thomas element, SIAM J. Numer. Anal., 33 (1996), pp. 2431-2444.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 2431-2444
-
-
Braess, D.1
Verfürth, R.2
-
12
-
-
21844516283
-
Superconvergence and a posteriori error estimation for triangular mixed finite elements
-
J. H. BRANDTS, Superconvergence and a posteriori error estimation for triangular mixed finite elements, Numer. Math., 68 (1994), pp. 311-324.
-
(1994)
Numer. Math.
, vol.68
, pp. 311-324
-
-
Brandts, J.H.1
-
13
-
-
0003199785
-
Mixed finite elements for second order elliptic problems in three variables
-
F. BREZZI, J. DOUGLAS, JR., R. DURÀN, AND M. FORTIN, Mixed finite elements for second order elliptic problems in three variables, Numer. Math., 51 (1987), pp. 237-250.
-
(1987)
Numer. Math.
, vol.51
, pp. 237-250
-
-
Brezzi, F.1
Douglas Jr., J.2
Duràn, R.3
Fortin, M.4
-
14
-
-
0001165889
-
Efficient rectangular mixed finite elements in two and three space variables
-
F. BREZZI, J. DOUGLAS, JR., M. FORTIN, AND L. D. MARINI, Efficient rectangular mixed finite elements in two and three space variables, RAIRO Model. Math. Anal. Numer., 21 (1987), pp. 581-604.
-
(1987)
RAIRO Model. Math. Anal. Numer.
, vol.21
, pp. 581-604
-
-
Brezzi, F.1
Douglas Jr., J.2
Fortin, M.3
Marini, L.D.4
-
15
-
-
34250118577
-
Two families of mixed elements for second order elliptic problems
-
F. BREZZI, J. DOUGLAS, JR., AND L. D. MARINI, Two families of mixed elements for second order elliptic problems, Numer. Math., 88 (1985), pp. 217-235.
-
(1985)
Numer. Math.
, vol.88
, pp. 217-235
-
-
Brezzi, F.1
Douglas Jr., J.2
Marini, L.D.3
-
17
-
-
0031491856
-
A posteriori error estimate for the mixed finite element method
-
C. CARSTENSEN, A posteriori error estimate for the mixed finite element method, Math. Comp., 66 (1997), pp. 465-476.
-
(1997)
Math. Comp.
, vol.66
, pp. 465-476
-
-
Carstensen, C.1
-
18
-
-
51249179041
-
Prismatic mixed finite elements for second order elliptic problems
-
Z. CHEN AND J. DOUGLAS, JR., Prismatic mixed finite elements for second order elliptic problems, Calcolo, 26 (1989), pp. 135-148.
-
(1989)
Calcolo
, vol.26
, pp. 135-148
-
-
Chen, Z.1
Douglas Jr., J.2
-
19
-
-
0003204969
-
The finite element method for elliptic problems
-
North-Holland, Amsterdam
-
P. G. CIARLET, The finite element method for elliptic problems, in Studies in Mathematics and Its Applications, Vol. 4, North-Holland, Amsterdam, 1978.
-
(1978)
Studies in Mathematics and Its Applications
, vol.4
-
-
Ciarlet, P.G.1
-
20
-
-
0033697924
-
Mortar finite volume element approximations of second order elliptic problems
-
R. EWING, R. LAZAROV, T. LIN, AND Y. LIN, Mortar finite volume element approximations of second order elliptic problems, East-West J. Numer. Math., 8 (2000), pp. 93-110.
-
(2000)
East-West J. Numer. Math.
, vol.8
, pp. 93-110
-
-
Ewing, R.1
Lazarov, R.2
Lin, T.3
Lin, Y.4
-
22
-
-
0001099785
-
Domain decomposition and mixed finite element methods for elliptic problems
-
R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, eds., SIAM, Philadelphia, PA
-
R. GLOWINSKI AND M. F. WHEELER, Domain decomposition and mixed finite element methods for elliptic problems, in First International Symposium on Domain Decomposition Methods for Partial Differential Equations, R. Glowinski, G. H. Golub, G. A. Meurant, and J. Periaux, eds., SIAM, Philadelphia, PA, 1988, pp. 144-172.
-
(1988)
First International Symposium on Domain Decomposition Methods for Partial Differential Equations
, pp. 144-172
-
-
Glowinski, R.1
Wheeler, M.F.2
-
24
-
-
0000257741
-
Adaptive multilevel techniques for mixed finite element discretizations of elliptic boundary value problems
-
R. H. W. HOPPE AND B. I. WOHLMUTH, Adaptive multilevel techniques for mixed finite element discretizations of elliptic boundary value problems, SIAM J. Numer. Anal., 34 (1997), pp. 1658-1681.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 1658-1681
-
-
Hoppe, R.H.W.1
Wohlmuth, B.I.2
-
25
-
-
0142246267
-
Residual a posteriori error estimates for the mixed finite element method
-
R. KIRBY, Residual a posteriori error estimates for the mixed finite element method, Comput. Geosci., 7 (2003), pp. 197-214.
-
(2003)
Comput. Geosci.
, vol.7
, pp. 197-214
-
-
Kirby, R.1
-
28
-
-
0037233472
-
Balancing domain decomposition for mortar mixed finite element methods on non-matching grids
-
G. PENCHEVA AND I. YOTOV, Balancing domain decomposition for mortar mixed finite element methods on non-matching grids, Numer. Linear Algebra Appl., 10 (2003), pp. 159-180.
-
(2003)
Numer. Linear Algebra Appl.
, vol.10
, pp. 159-180
-
-
Pencheva, G.1
Yotov, I.2
-
29
-
-
0036372321
-
Mortar upscaling for multiphase flow in porous media
-
M. PESZYNSKA, M. F. WHEELER, AND I. YOTOV, Mortar upscaling for multiphase flow in porous media, Comput. Geosci., 6 (2002), pp. 73-100.
-
(2002)
Comput. Geosci.
, vol.6
, pp. 73-100
-
-
Peszynska, M.1
Wheeler, M.F.2
Yotov, I.3
-
30
-
-
0034476346
-
Domain decomposition with non matching grids and adaptive finite element techniques
-
J. POUSIN AND T. SASSI, Domain decomposition with non matching grids and adaptive finite element techniques, East-West J. Numer. Math., 8 (2000), pp. 243-256.
-
(2000)
East-West J. Numer. Math.
, vol.8
, pp. 243-256
-
-
Pousin, J.1
Sassi, T.2
-
31
-
-
0001175293
-
A mixed finite element method for 2nd order elliptic problems
-
Mathematical Aspects of the Finite Element Method, Springer-Verlag, New York
-
R. A. RAVIART AND J. M. THOMAS, A mixed finite element method for 2nd order elliptic problems, in Mathematical Aspects of the Finite Element Method, Lecture Notes in Math. 606, Springer-Verlag, New York, 1977, pp. 292-315.
-
(1977)
Lecture Notes in Math.
, vol.606
, pp. 292-315
-
-
Raviart, R.A.1
Thomas, J.M.2
-
32
-
-
70350630547
-
Mixed and hybrid methods
-
P. G. Ciarlet and J. Lions, eds., Elsevier Science, Amsterdam
-
J. E. ROBERTS AND J.-M. THOMAS, Mixed and hybrid methods, in Handbook of Numerical Analysis, Vol. II, P. G. Ciarlet and J. Lions, eds., Elsevier Science, Amsterdam, 1991, pp. 523-639.
-
(1991)
Handbook of Numerical Analysis
, vol.2
, pp. 523-639
-
-
Roberts, J.E.1
Thomas, J.-M.2
-
33
-
-
70350630547
-
Mixed and hybrid methods
-
North-Holland, Amsterdam
-
J. E. ROBERTS AND J.-M. THOMAS, Mixed and hybrid methods, in Handbook of Numerical Analysis, Vol. II, North-Holland, Amsterdam, 1991, pp. 523-639.
-
(1991)
Handbook of Numerical Analysis
, vol.2
, pp. 523-639
-
-
Roberts, J.E.1
Thomas, J.-M.2
-
34
-
-
33745444601
-
-
These de Doctorat d'etat, 'a l'Universite Pierre et Marie Curie
-
J. M. THOMAS, These de Doctorat d'etat, 'a l'Universite Pierre et Marie Curie, 1977.
-
(1977)
-
-
Thomas, J.M.1
-
35
-
-
0028423814
-
A posteriori error estimation and adaptive mesh-refinement techniques
-
R. VERFÜRTH, A posteriori error estimation and adaptive mesh-refinement techniques, J. Comput. Appl. Math., 50 (1994), pp. 67-83.
-
(1994)
J. Comput. Appl. Math.
, vol.50
, pp. 67-83
-
-
Verfürth, R.1
-
36
-
-
0001414833
-
Physical and computational domain decompositions for modeling subsurface flows
-
J. Mandel et al., eds., American Mathematical Society, Providence, RI
-
M. F. WHEELER AND I. YOTOV, Physical and computational domain decompositions for modeling subsurface flows, in Tenth International Conference on Domain Decomposition Methods, Contemporary Mathematics, Vol. 218, J. Mandel et al., eds., American Mathematical Society, Providence, RI, 1998, pp. 217-228.
-
(1998)
Tenth International Conference on Domain Decomposition Methods, Contemporary Mathematics
, vol.218
, pp. 217-228
-
-
Wheeler, M.F.1
Yotov, I.2
-
37
-
-
0000539547
-
Hierarchical a posteriori error estimators for mortar finite element methods with Lagrange multipliers
-
B. I. WOHLMUTH, Hierarchical a posteriori error estimators for mortar finite element methods with Lagrange multipliers, SIAM J. Numer. Anal., 36 (1999), pp. 1636-1658.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 1636-1658
-
-
Wohlmuth, B.I.1
-
38
-
-
22844453536
-
A residual based error estimator for mortar finite element discretizations
-
B. I. WOHLMUTH, A residual based error estimator for mortar finite element discretizations, Numer. Math., 84 (1999), pp. 143-171.
-
(1999)
Numer. Math.
, vol.84
, pp. 143-171
-
-
Wohlmuth, B.I.1
-
39
-
-
0033461695
-
A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
-
B. I. WOHLMUTH AND R. H. W. HOPPE, A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements, Math. Comp., 68 (1999), pp. 1347-1378.
-
(1999)
Math. Comp.
, vol.68
, pp. 1347-1378
-
-
Wohlmuth, B.I.1
Hoppe, R.H.W.2
-
40
-
-
0003435740
-
-
Ph.D. thesis, Rice University, Houston, TX, TR96-09, Dept. Comp. Appl. Math., Rice University and TICAM Report 96-23, University of Texas at Austin
-
I. YOTOV, Mixed Finite Element Methods for Flow in Porous Media, Ph.D. thesis, Rice University, Houston, TX, 1996. TR96-09, Dept. Comp. Appl. Math., Rice University and TICAM Report 96-23, University of Texas at Austin.
-
(1996)
Mixed Finite Element Methods for Flow in Porous Media
-
-
Yotov, I.1
|