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MOC
2011
12 years 12 months ago
A two-level enriched finite element method for a mixed problem
The simplest pair of spaces P1/P0 is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is enhance the finite element spaces inside a PetrovGalerkin ...
Alejandro Allendes, Gabriel R. Barrenechea, Erwin ...
SIAMNUM
2010
141views more  SIAMNUM 2010»
12 years 11 months ago
A Multipoint Flux Mixed Finite Element Method on Hexahedra
We develop a mixed finite element method for elliptic problems on hexahedral grids that reduces to cell-centered finite differences. The paper is an extension of our earlier paper...
Ross Ingram, Mary F. Wheeler, Ivan Yotov
MOC
2002
151views more  MOC 2002»
13 years 4 months ago
Mixed finite element methods for unilateral problems: convergence analysis and numerical studies
In this paper, we propose and study different mixed variational methods in order to approximate with finite elements the unilateral problems arising in contact mechanics. The discr...
Patrice Coorevits, Patrick Hild, Khalid Lhalouani,...
MOC
2010
12 years 11 months ago
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on ...
Martin Vohralík
SIAMNUM
2010
91views more  SIAMNUM 2010»
12 years 11 months ago
Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
Abstract. In [9], we introduced and analyzed a recovery-based a posteriori error estimator for conforming linear finite element approximation to interface problems. It was shown th...
Zhiqiang Cai, Shun Zhang