-convergence of saddle-point approximations for second order problems
Reinhard Scholz (1977)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “Finite element approximations of the von Kármán equations”
-convergence of saddle-point approximations for second order problems
A technique of upstream type applied to a linear nonconforming finite element approximation of convective diffusion equations
Katsushi Ohmori, Teruo Ushijima (1984)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Mixed formulation of elliptic variational inequalities and its approximation
Jaroslav Haslinger (1981)
Aplikace matematiky
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The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian on a certain convex set . Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples.
Evaluation of the condition number in linear systems arising in finite element approximations
Alexandre Ern, Jean-Luc Guermond (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper derives upper and lower bounds for the -condition number of the stiffness matrix resulting from the finite element approximation of a linear, abstract model problem. Sharp estimates in terms of the meshsize are obtained. The theoretical results are applied to finite element approximations of elliptic PDE's in variational and in mixed form, and to first-order PDE's approximated using the Galerkin–Least Squares technique or by means of a non-standard Galerkin technique in...