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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
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
114views more  SIAMNUM 2010»
12 years 11 months ago
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
We derive a posteriori error estimates for the discretization of the heat equation in a unified and fully discrete setting comprising the discontinuous Galerkin, finite volume, mix...
Alexandre Ern, Martin Vohralík
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
2000
69views more  MOC 2000»
13 years 4 months ago
Uniform hp convergence results for the mortar finite element method
The mortar finite element is an example of a non-conforming method which can be used to decompose and re-compose a domain into subdomains without requiring compatibility between th...
Padmanabhan Seshaiyer, Manil Suri