PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Brezzi F., Hughes T. J. R., Süli E. Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. Preprint ercim.cnr.ian//2001-1220, 2001.
 
 
Abstract
(English)
We consider the approximation of elliptic boundary value problems by conforming finite element methods. A model problem, the Poisson equation with Dirichlet boundary conditions, is used to examine the convergence behavior of flux defined on an internal boundary which splits the domain in two. A variational definition of flux, designed to satisfy local conservation laws, is shown to lead to improved rates of convergence.
Subject Finite element methods
Conservation
Error estimates
Flux functionals
65N30
65N15
65N50


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