-
1
-
-
0003924563
-
-
Van Nostrand, Princeton, NJ, Toronto, London
-
S. AGMON, Lectures on Elliptic Boundary Value Problems, Van Nostrand, Princeton, NJ, Toronto, London, 1965..
-
(1965)
Lectures on Elliptic Boundary Value Problems
-
-
Agmon, S.1
-
2
-
-
37449025866
-
A residual based error estimator for the mimetic finite difference method
-
L. BEIRAO DA VEIGA, A residual based error estimator for the mimetic finite difference method, Numer. Math., 108 (2008), pp. 387-406..
-
(2008)
Numer. Math.
, vol.108
, pp. 387-406
-
-
Beirao Da Veiga, L.1
-
3
-
-
84862077741
-
-
Preprint IMATI-PV 14PV08/13/0, I.M.A.T.I.-C.N.R., Pavia, Italy
-
L. BEIRAO DA VEIGA. K. LIPNIKOV. AND G. MANZIKI, Convergence Analysis of the High-Order Mimetic Finite Difference Method, Preprint IMATI-PV 14PV08/13/0, I.M.A.T.I.-C.N.R., Pavia, Italy, 2008..
-
(2008)
Convergence Analysis of the High-Order Mimetic Finite Difference Method
-
-
Beirao Da Veiga, L.1
Lipnikov, K.2
Manziki, G.3
-
4
-
-
60949113471
-
An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems
-
to appear (DOI: 10.1002/nme.2377)..
-
L. BEIRAO DA VEIGA AND G. MANZINI, An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems, Internat. J. Numer. Methods Engrg., to appear (DOI: 10.1002/nme.2377)..
-
Internat. J. Numer. Methods Engrg.
-
-
Beirao Da Veiga, L.1
Manzini, G.2
-
5
-
-
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, Numer. Math., 9 (2001), pp. 253-284..
-
(2001)
Numer. Math.
, vol.9
, pp. 253-284
-
-
Berndt, M.1
Lipnikov, K.2
Moulton, J.D.3
Shashkov, M.4
-
6
-
-
32644431624
-
Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals
-
M. BERNDT. K. LIPNIKOV. M. SHASHKOV. M. F. WHEELER, AND I. YOTOV, Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals, SLAM J. Numer. Anal., 43 (2005), pp. 1728-1749..
-
(2005)
SLAM J. Numer. Anal.
, vol.43
, pp. 1728-1749
-
-
Berndt, M.1
Lipnikov, K.2
Shashkov, M.3
Wheeler, M.F.4
Yotov, I.5
-
7
-
-
0039483051
-
Algorithm 817 P2MESH: Generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers
-
E. BERTOLAZZI AND G. MANZINI, Algorithm 817 P2MESH: Generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers, ACM Trans. Math. Software, 28 (2002), pp. 101 132..
-
(2002)
ACM Trans. Math. Software
, vol.28
, pp. 101132
-
-
Bertolazzi, E.1
Manzini, G.2
-
8
-
-
33646719455
-
Principles of mimetic discretizations, in Compatible Discretizations
-
D. Arnold, P. Bochev, R. Lehoueq, R. Nicolaides, and M. Shashkov, eds., Springer-Verlag, New York
-
P. BOCHEV AND J. M. HYMAN, Principles of mimetic discretizations, in Compatible Discretizations, IMA Vol. Math. Appl. 142, D. Arnold, P. Bochev, R. Lehoueq, R. Nicolaides, and M. Shashkov, eds., Springer-Verlag, New York, 2006, pp. 89-119..
-
(2006)
IMA Vol. Math. Appl.
, vol.142
, pp. 89-119
-
-
Bochev, P.1
Hyman, J.M.2
-
9
-
-
26944484259
-
Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes
-
F. BREZZI. K. LIPNICOV. AND M. SHASHKOV, Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes, SIAM J. Numer. Anal., 43 (2005), pp. 1872 1896..
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, pp. 18721896
-
-
Brezzi, F.1
Lipnicov, K.2
Shashkov, M.3
-
10
-
-
32644433326
-
Convergence of mimetic finite difference methods for diffusion problems on polyhedral meshes with curved faces
-
F. BREZZI. K. LIPNIKOV. AND M. SHASHKOV, Convergence of mimetic finite difference methods for diffusion problems on polyhedral meshes with curved faces, Math. Models Methods Appl. Sci., 16 (2006), pp. 275-297..
-
(2006)
Math. Models Methods Appl. Sci.
, vol.16
, pp. 275-297
-
-
Brezzi, F.1
Lipnikov, K.2
Shashkov, M.3
-
11
-
-
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), pp. 1533-1551..
-
(2005)
Math. Models Methods Appl. Sci.
, vol.15
, pp. 1533-1551
-
-
Brezzi, F.1
Lipnikov, K.2
Simoncini, V.3
-
12
-
-
36949012302
-
Flux reconstruction and pressure post-processing in mimetic finite difference methods
-
A. CANGIANI AND G. MANZINI, Flux reconstruction and pressure post-processing in mimetic finite difference methods, Comput. Methods Appl. Mech. Engrg., 197 (2008), pp. 933-945..
-
(2008)
Comput. Methods Appl. Mech. Engrg.
, vol.197
, pp. 933-945
-
-
Cangiani, A.1
Manzini, G.2
-
13
-
-
84862085396
-
Convergence Analysis of a Mimetic Finite Difference Method for General Second-Order Elliptic Problems
-
I.M.A.T.I.-C.N.R., Pavia, Italy, 2007, SIAM J. Numer. Anal., submitted..
-
A. CANGIANI. G. MANZINI. AND A. RUSSO, Convergence Analysis of a Mimetic Finite Difference Method for General Second-Order Elliptic Problems, Technical Report 15PV07/15/0, I.M.A.T.I.-C.N.R., Pavia, Italy, 2007, SIAM J. Numer. Anal., submitted..
-
Technical Report 15PV07/15/0
-
-
Cangiani, A.1
Manzini, G.2
Russo, A.3
-
14
-
-
0001085935
-
High-order mimetic finite difference methods on nonuniform grids, in ICOSAHOM-95
-
A.V. Ilin and L. R. Scott, eds., University of Houston, Houston, TX
-
J. CASTILLO. J. M. HYMAN. M. SHASHKOV. AND S. STEINBERG, High-order mimetic finite difference methods on nonuniform grids, in ICOSAHOM-95, Proceedings of the Third International Conference on Spectral and High Order Methods, A.V. Ilin and L. R. Scott, eds., University of Houston, Houston, TX, 1995, pp. 347-361..
-
(1995)
Proceedings of the Third International Conference on Spectral and High Order Methods
, pp. 347-361
-
-
Castillo, J.1
Hyman, J.M.2
Shashkov, M.3
Steinberg, S.4
-
15
-
-
50249099733
-
High-order mimetic finite difference method for diffusion problems on polygonal meshes
-
V. GYRYA AND K. LIPNIKOV, High-order mimetic finite difference method for diffusion problems on polygonal meshes, J. Comput. Phys., 227 (2008), pp. 8841-8854..
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 8841-8854
-
-
Gyrya, V.1
Lipnikov, K.2
-
16
-
-
0036923031
-
Mimetic finite difference methods for diffusion equations
-
J. HYMAN. J. MOREL. M. SHASHKOV. AND S. STEINBERG, Mimetic finite difference methods for diffusion equations, Comput. Geosci., 6 (2002), pp. 333-352..
-
(2002)
Comput. Geosci.
, vol.6
, pp. 333-352
-
-
Hyman, J.1
Morel, J.2
Shashkov, M.3
Steinberg, S.4
-
17
-
-
0031333803
-
Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids
-
J. M. HYMAN AND M. SHASHKOV, Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids, Appl. Numer. Math., 25 (1997), pp. 413-442..
-
(1997)
Appl. Numer. Math.
, vol.25
, pp. 413-442
-
-
Hyman, J.M.1
Shashkov, M.2
-
18
-
-
0032167141
-
Approximation of boundary conditions for mimetic finitedifference methods
-
J. M. HYMAN AND M. SHASHKOV, Approximation of boundary conditions for mimetic finitedifference methods, Comput. Math. Appl., 36 (1998), pp. 79-99..
-
(1998)
Comput. Math. Appl.
, vol.36
, pp. 79-99
-
-
Hyman, J.M.1
Shashkov, M.2
-
19
-
-
0002058288
-
The orthogonal decomposition theorems for mimetic finite difference methods
-
J. M. HYMAN AND M. SHASHKOV, The orthogonal decomposition theorems for mimetic finite difference methods, SIAM J. Numer. Anal., 36 (1999), pp. 788-818..
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 788-818
-
-
Hyman, J.M.1
Shashkov, M.2
-
20
-
-
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), pp. 301 324..
-
(2005)
Comput. Geosci.
, vol.8
, pp. 301324
-
-
Kuznetsov, Y.1
Lipnikov, K.2
Shashkov, M.3
-
21
-
-
4544253720
-
Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
-
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), pp. 589-597..
-
(2004)
J. Comput. Phys.
, vol.199
, pp. 589-597
-
-
Lipnikov, K.1
Morel, J.2
Shashkov, M.3
-
22
-
-
26944473988
-
The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes
-
K. LIPNIKOV, M. SHASHKOV. AND D. SVYATSKIY, The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes, J. Comput. Phys., 211 (2006), pp. 473-491..
-
(2006)
J. Comput. Phys.
, vol.211
, pp. 473-491
-
-
Lipnikov, K.1
Shashkov, M.2
Svyatskiy, D.3
-
23
-
-
0030525010
-
Solving diffusion equations with rough coefficients in rough grids
-
M. SHASHKOV AND S. STEINBERG, Solving diffusion equations with rough coefficients in rough grids, J. Comput. Phys., 129 (1996), pp. 383-405..
-
(1996)
J. Comput. Phys.
, vol.129
, pp. 383-405
-
-
Shashkov, M.1
Steinberg, S.2
-
24
-
-
33750299447
-
Higher-order mimetic methods for unstructured meshes
-
V. SUBRAMANIAN AND J. B. PEROT, Higher-order mimetic methods for unstructured meshes, J. Comput. Phys., 219 (2006), pp. 68-85..
-
(2006)
J. Comput. Phys.
, vol.219
, pp. 68-85
-
-
Subramanian, V.1
Perot, J.B.2
|