Polygonal Domain Approximation in Dirichlet's Problem.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Consider Dirichlets problem with vanishing boundary values for Poissons equation in a smooth domain omega in the plane. In the paper upper and lower bounds with respect to different norms are given for the error and the gradient of the error introduced by approximating omega by a polygonal domain omega sub h with side-lengths at most h. Author
- Theoretical Mathematics