Variational approximation of flux in conforming finite element methods for elliptic partial differential equations: a model problem
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 vari...
| المؤلفون الرئيسيون: | , , |
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| التنسيق: | Report |
| منشور في: |
Unspecified
2001
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| الملخص: | 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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