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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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(Preview, pdf, 180.9KB, Terms of use)
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- Publication date:
- 2001-03-01
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uuid:ecba99db-1a39-4a2f-9ffd-67a79416dcea
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oai:eprints.maths.ox.ac.uk:1247
- Deposit date:
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2011-05-31
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- Copyright date:
- 2001
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