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» An optimal adaptive mixed finite element method
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SYMMETRY
2010
72views more  SYMMETRY 2010»
13 years 2 months ago
Symmetric Matrix Fields in the Finite Element Method
: The theory of elasticity is used to predict the response of a material body subject to applied forces. In the linear theory, where the displacement is small, the stress tensor wh...
Gerard Awanou
MOC
2000
109views more  MOC 2000»
13 years 7 months ago
A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions
Abstract. This paper is concerned with the mixed formulation of the Boussinesq equations in two-dimensional domains and its numerical approximation. The paper deals first with exis...
M. Farhloul, S. Nicaise, L. Paquet

Publication
289views
12 years 5 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
SIAMNUM
2010
150views more  SIAMNUM 2010»
13 years 2 months ago
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of si...
Andrea Bonito, Ricardo H. Nochetto
MOC
2002
128views more  MOC 2002»
13 years 7 months ago
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
Averaging techniques are popular tools in adaptive finite element methods since they provide efficient a posteriori error estimates by a simple postprocessing. In the second paper ...
Sören Bartels, Carsten Carstensen