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@article{BUMI_2008_9_1_2_a1, author = {Beir\~ao da Veiga, L.}, title = {A {Local} {Error} {Estimator} for the {Mimetic} {Finite} {Difference} {Method}}, journal = {Bollettino della Unione matematica italiana}, pages = {319--332}, publisher = {mathdoc}, volume = {Ser. 9, 1}, number = {2}, year = {2008}, zbl = {1164.65034}, mrnumber = {2424296}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_2_a1/} }
TY - JOUR AU - Beirão da Veiga, L. TI - A Local Error Estimator for the Mimetic Finite Difference Method JO - Bollettino della Unione matematica italiana PY - 2008 SP - 319 EP - 332 VL - 1 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_2_a1/ LA - en ID - BUMI_2008_9_1_2_a1 ER -
Beirão da Veiga, L. A Local Error Estimator for the Mimetic Finite Difference Method. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 2, pp. 319-332. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_2_a1/
[1] A Posteriori Error Estimation in Finite Element Analysis. Wiley (2000). | DOI | MR | Zbl
- ,[2] Lectures on Elliptic Boundary Value Problems. Van Nostrand, Princeton, NJ (1965). | MR | Zbl
,[3] An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal., 19 (1982), 742-760. | DOI | MR | Zbl
,[4] A residual based error estimator for the Mimetic Finite Difference method, Numer. Math., 108 (2008), 387-406. | DOI | MR | Zbl
,[5] An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems with general diffusion tensors, preprint IMATI-CNR 17PV07/17/0 (2007) | DOI | MR
- ,[6] Convergence of mimetic finite difference discretizations of the diffusion equation. J. Numer. Math., 9 (2001), 253-284. | MR | Zbl
- - - ,[7] Super-convergence of the velocity in mimetic finite difference methods on quadrilaterals. Siam J. Numer. Anal., 43 (2005), 1728-1749. | DOI | MR | Zbl
- - - - ,[8] A posteriori error estimators for the Raviart-Thomas element. Siam. J. Numer. Anal., 33 (1996), 2431-2444. | DOI | MR | Zbl
- ,[9] The Mathematical Theory of Finite Element Methods. Springer-Verlag (1994). | DOI | MR | Zbl
- ,[10] Mixed and Hybrid Finite Element Methods. Springer-Verlag, New York (1991). | DOI | MR | Zbl
- ,[11] Convergence of Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes. SIAM J. Num. Anal., 43 (2005), 1872-1896. | DOI | MR | Zbl
- - ,[12] A family of mimetic finite difference methods on polygonal and polyhedral meshes. Math. Models Methods Appl. Sci., 15 (2005), 1533-1553. | DOI | MR | Zbl
- - ,[13] Convergence of Mimetic Finite Difference Methods for Diffusion Problems on Polyhedral Meshes with curved faces. Math. Models Methods Appl. Sci., 16 (2006), 275-298. | DOI | MR | Zbl
- - ,[14] A new discretization methodology for diffusion problems on generalized polyhedral meshes. To appear on Comp. Meth. and Appl. Mech. Engrg. | DOI | MR | Zbl
- - - ,[15] Flux reconstruction and pressure post-processing in mimetic finite difference methods. Comput. Meth. Appl. Mech. Engrg., 197 (2008), 933-945. | DOI | MR | Zbl
- ,[16] A posteriori error estimate for the mixed finite element method. Math. of Comp., 66 (1996), 465-476. | DOI | MR | Zbl
,[17] The Finite Element Method for Elliptic Problems. North-Holland (1978). | MR | Zbl
,[18] Finite Element Methods for Navier-Stokes Equations. Theory and Algorithms. Springer-Verlag (1986). | DOI | MR | Zbl
- ,[19] The numerical solution of diffusion problems in strongly heterogeneus non-isotropic materials. J. Comput. Phys., 132 (1997), 130-148. | DOI | MR | Zbl
- - ,[20] The mimetic finite difference method on polygonal meshes for diffusion-type problems. Comput. Geosci., 8 (2005), 301-324. | DOI | MR | Zbl
- - ,[21] Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. J. Comput. Phys., 199 (2004), 589-597. | Zbl
- - ,[22] The mimetic finite difference discretiza- tion of diffusion problem on unstructured polyhedral meshes. J. Comput. Phys., 211 (2006), 473-491. | DOI | MR | Zbl
- - ,[23] Analysis and optimization of inner products for mimetic finite difference methods on triangular grid. Math. and Comp. in Simulation, 67 (2004), 55-66. | DOI | MR | Zbl
- - ,[24] Energy norm a posteriori error estimates for mixed finite element methods. Math. Comp., 75 (2006), 1659-1674. | DOI | MR | Zbl
- ,[25] A local support-operators diffusion discretiza- tion scheme for hexahedral meshes. J. of Comput. Phys., 170 (2001), 338-372. | DOI | MR | Zbl
- - ,[26] A local support-operators diffusion discretization scheme for quadrilateral r - z meshes. J. of Comput. Phys., 144 (1998), 17-51. | DOI | MR | Zbl
- - ,[27] Postprocessing schemes for some mixed finite elements. Math. Model. and Numer. Anal., 25 (1991), 151-168. | fulltext EuDML | DOI | MR | Zbl
,[28] A review of a posteriori error estimation and adaptive mesh refinement. Wiley and Teubner, Stuttgart (1996).
,