-
2
-
-
0002802068
-
Equilibrium finite elements for the linear elastic problem
-
M. Amara and J.M. Thomas, Equilibrium finite elements for the linear elastic problem. Numer. Math. 33 (1979) 367-383.
-
(1979)
Numer. Math.
, vol.33
, pp. 367-383
-
-
Amara, M.1
Thomas, J.M.2
-
4
-
-
77950216640
-
Differential complexes and stability of finite element methods II: The elasticity complex
-
D. Arnold, P. Botchev, R. Lehoucq, R. Nicolaides and M. Shashkov Eds., IMA Volumes in Mathematics and its Applications 142, Springer- Verlag
-
D.N. Arnold, R.S. Falk and R. Winther, Differential complexes and stability of finite element methods II: the elasticity complex, in Compatible Spatial Discretizations, D. Arnold, P. Botchev, R. Lehoucq, R. Nicolaides and M. Shashkov Eds., IMA Volumes in Mathematics and its Applications 142, Springer-Verlag (2005) 47-67.
-
(2005)
Compatible Spatial Discretizations
, pp. 47-67
-
-
Arnold, D.N.1
Falk, R.S.2
Winther, R.3
-
5
-
-
37049035279
-
Mixed finite element methods for linear elasticity with weakly imposed symmetry
-
D.N. Arnold, R.S. Falk and R. Winther, Mixed finite element methods for linear elasticity with weakly imposed symmetry. Math. Comp. 76 (2007) 1699-1723.
-
(2007)
Math. Comp.
, vol.76
, pp. 1699-1723
-
-
Arnold, D.N.1
Falk, R.S.2
Winther, R.3
-
6
-
-
37449025866
-
A residual based error estimator for the Mimetic Finite Difference method
-
L. Beir̃ao da Veiga, A residual based error estimator for the Mimetic Finite Difference method. Numer. Math. 108 (2008) 387-406.
-
(2008)
Numer. Math.
, vol.108
, pp. 387-406
-
-
Beir̃ao Da Veiga, L.1
-
7
-
-
60949113471
-
An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems with general diffusion tensors
-
L. Beir̃ao da Veiga and G. Manzini, An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems with general diffusion tensors. Int. J. Num. Meth. Engrg. 76 (2008) 1696-1723.
-
(2008)
Int. J. Num. Meth. Engrg.
, vol.76
, pp. 1696-1723
-
-
Beir̃ao Da Veiga, L.1
Manzini, G.2
-
8
-
-
68549140230
-
A higher-order formulation of the Mimetic Finite Difference method
-
L. Beir̃ao da Veiga and G. Manzini, A higher-order formulation of the Mimetic Finite Difference method. SIAM J. Sci. Comput. 31 (2008) 732-760.
-
(2008)
SIAM J. Sci. Comput.
, vol.31
, pp. 732-760
-
-
Beir̃ao Da Veiga, L.1
Manzini, G.2
-
9
-
-
71549140062
-
Convergence analysis of the high-order mimetic finite difference method
-
L. Beir̃ao da Veiga, K. Lipnikov and G. Manzini, Convergence analysis of the high-order mimetic finite difference method. Numer. Math. 113 (2009) 325-356.
-
(2009)
Numer. Math.
, vol.113
, pp. 325-356
-
-
Beir̃ao Da Veiga, L.1
Lipnikov, K.2
Manzini, G.3
-
10
-
-
68549115155
-
A mimetic finite difference method for the Stokes problem on polygonal meshes
-
L. Beir̃ao da Veiga, V. Gyrya, K. Lipnikov and G. Manzini, A mimetic finite difference method for the Stokes problem on polygonal meshes. J. Comput. Phys. 228 (2009) 7215-7232.
-
(2009)
J. Comput. Phys.
, vol.228
, pp. 7215-7232
-
-
Beir̃ao Da Veiga, L.1
Gyrya, V.2
Lipnikov, K.3
Manzini, G.4
-
11
-
-
0035708126
-
Convergence of mimetic finite difference discretizations of the diffusion equation
-
M. Berndt, K. Lipnikov, J.D. Moulton and M. Shashkov, Convergence of mimetic finite difference discretizations of the diffusion equation. J. Numer. Math. 9 (2001) 253-284.
-
(2001)
J. Numer. Math.
, vol.9
, pp. 253-284
-
-
Berndt, M.1
Lipnikov, K.2
Moulton, J.D.3
Shashkov, M.4
-
12
-
-
32644431624
-
Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals
-
DOI 10.1137/040606831
-
M. Berndt, K. Lipnikov, M. Shashkov, M.F. Wheeler and I. Yotov, Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. SIAM J. Numer. Anal. 43 (2005) 1728-1749. (Pubitemid 44231215)
-
(2005)
SIAM Journal on Numerical Analysis
, vol.43
, Issue.4
, pp. 1728-1749
-
-
Berndt, M.1
Lipnikov, K.2
Shashkov, M.3
Wheeler, M.F.4
Yotov, I.5
-
14
-
-
34250118577
-
Two families of mixed finite elements for second order elliptic problems
-
F. Brezzi, J. Douglas Jr. and L.D. Marini, Two families of mixed finite elements for second order elliptic problems. Numer. Math. 47 (1985) 217-235.
-
(1985)
Numer. Math.
, vol.47
, pp. 217-235
-
-
Brezzi, F.1
J. Douglas, Jr.2
Marini, L.D.3
-
16
-
-
26944484259
-
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes
-
DOI 10.1137/040613950
-
F. Brezzi, K. Lipnikov and M. Shashkov, Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes. SIAM J. Numer. Anal. 43 (2005) 1872-1896. (Pubitemid 44598663)
-
(2005)
SIAM Journal on Numerical Analysis
, vol.43
, Issue.5
, pp. 1872-1896
-
-
Brezzi, F.1
Lipnikov, K.2
Shashkov, M.3
-
17
-
-
25144443045
-
A family of mimetic finite difference methods on polygonal and polyhedral meshes
-
F. Brezzi, K. Lipnikov and V. Simoncini, A family of mimetic finite difference methods on polygonal and polyhedral meshes. Math. Models Methods Appl. Sci. 15 (2005) 1533-1553.
-
(2005)
Math. Models Methods Appl. Sci.
, vol.15
, pp. 1533-1553
-
-
Brezzi, F.1
Lipnikov, K.2
Simoncini, V.3
-
18
-
-
32644433326
-
Convergence of mimetic finite difference methods for diffusion problems on polyhedral meshes with curved faces
-
F. Brezzi, K. Lipnikov and V. Simoncini, Convergence of mimetic finite difference methods for diffusion problems on polyhedral meshes with curved faces. Math. Models Methods Appl. Sci. 16 (2006) 275-298.
-
(2006)
Math. Models Methods Appl. Sci.
, vol.16
, pp. 275-298
-
-
Brezzi, F.1
Lipnikov, K.2
Simoncini, V.3
-
19
-
-
34447101360
-
A new discretization methodology for diffusion problems on generalized polyhedral meshes
-
DOI 10.1016/j.cma.2006.10.028, PII S0045782507000965
-
F. Brezzi, K. Lipnikov, M. Shashkov and V. Simoncini, A new discretization methodology for diffusion problems on generalized polyhedral meshes. Comp. Meth. Appl. Mech. Engrg. 196 (2007) 3682-3692. (Pubitemid 47029529)
-
(2007)
Computer Methods in Applied Mechanics and Engineering
, vol.196
, Issue.SPEC. ISS.
, pp. 3682-3692
-
-
Brezzi, F.1
Lipnikov, K.2
Shashkov, M.3
Simoncini, V.4
-
20
-
-
36949012302
-
Flux reconstruction and solution post-processing in mimetic finite difference methods
-
DOI 10.1016/j.cma.2007.09.019, PII S0045782507003945
-
A. Cangiani and G. Manzini, Flux recontruction and pressure post-processing in mimetic finite difference methods. Comput. Meth. Appl. Mech. Engrg. 197 (2008) 933-945. (Pubitemid 350237094)
-
(2008)
Computer Methods in Applied Mechanics and Engineering
, vol.197
, Issue.9-12
, pp. 933-945
-
-
Cangiani, A.1
Manzini, G.2
-
23
-
-
50249099733
-
High-order mimetic finite difference method for the diffusion problems on polygonal meshes
-
V. Gryrya and K. Lipnikov, High-order mimetic finite difference method for the diffusion problems on polygonal meshes. J. Comput. Phys. 227 (2008) 8841-8854.
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 8841-8854
-
-
Gryrya, V.1
Lipnikov, K.2
-
24
-
-
0000536753
-
The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
-
DOI 10.1006/jcph.1996.5633, PII S0021999196956338
-
J. Hyman, M. Shashkov and S. Steinberg, The numerical solution of diffusion problems in strongly heterogeneus non-isotropic materials. J. Comput. Phys. 132 (1997) 130-148. (Pubitemid 127343524)
-
(1997)
Journal of Computational Physics
, vol.132
, Issue.1
, pp. 130-148
-
-
Hyman, J.1
Shashkov, M.2
Steinberg, S.3
-
25
-
-
0036923031
-
Mimetic finite difference methods for diffusion equations
-
DOI 10.1023/A:1021282912658
-
J. Hyman, J. Morel, M. Shashkov and S. Steinberg, Mimetic finite difference methods for diffusion equations. Comput. Geosci. 6 (2002) 333-352. (Pubitemid 36049341)
-
(2002)
Computational Geosciences
, vol.6
, Issue.3-4
, pp. 333-352
-
-
Hyman, J.1
Morel, J.2
Shashkov, M.3
Steinberg, S.4
-
26
-
-
22144481628
-
The mimetic finite difference method on polygonal meshes for diffusion-type problems
-
Y. Kuznetsov, K. Lipnikov and M. Shashkov, The mimetic finite difference method on polygonal meshes for diffusion-type problems. Comput. Geosci. 8 (2005) 301-324.
-
(2005)
Comput. Geosci.
, vol.8
, pp. 301-324
-
-
Kuznetsov, Y.1
Lipnikov, K.2
Shashkov, M.3
-
27
-
-
4544253720
-
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
-
DOI 10.1016/j.jcp.2004.02.016, PII S0021999104000968
-
K. Lipnikov, J. Morel and M. Shashkov, Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. J. Comput. Phys. 199 (2004) 589-597. (Pubitemid 39216326)
-
(2004)
Journal of Computational Physics
, vol.199
, Issue.2
, pp. 589-597
-
-
Lipnikov, K.1
Morel, J.2
Shashkov, M.3
-
28
-
-
26944473988
-
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes
-
DOI 10.1016/j.jcp.2005.05.028, PII S0021999105002834
-
K. Lipnikov, M. Shashkov and D. Svyatskiy, The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes. J. Comput. Phys. 211 (2006) 473-491. (Pubitemid 41472437)
-
(2006)
Journal of Computational Physics
, vol.211
, Issue.2
, pp. 473-491
-
-
Lipnikov, K.1
Shashkov, M.2
Svyatskiy, D.3
-
29
-
-
0012351695
-
A Local Support-Operators Diffusion Discretization Scheme for Hexahedral Meshes
-
DOI 10.1006/jcph.2001.6736, PII S0021999101967361
-
J. Morel, M. Hall and M. Shaskov, A local support-operators diffusion discretization scheme for hexahedral meshes. J. Comput. Phys. 170 (2001) 338-372. (Pubitemid 33658389)
-
(2001)
Journal of Computational Physics
, vol.170
, Issue.1
, pp. 338-372
-
-
Morel, J.E.1
Hall, M.L.2
Shashkov, M.J.3
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