The Mathematical Institute, University of Oxford, Eprints Archive

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

Brezzi, Franco and Hughes, T. J. R. and Suli, Endre (2001) Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1247
Deposited By:Lotti Ekert
Deposited On:21 May 2011 17:08
Last Modified:21 May 2011 17:08

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