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Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem

Abstract:
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.

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Franco Brezzi More by this author
T. J. R. Hughes More by this author
Endre Suli More by this author
Publication date:
2001-03-05
URN:
uuid:ecba99db-1a39-4a2f-9ffd-67a79416dcea
Local pid:
oai:eprints.maths.ox.ac.uk:1247

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