About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation. (Q1771815)
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scientific article; zbMATH DE number 2158699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation. |
scientific article; zbMATH DE number 2158699 |
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About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation. (English)
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19 April 2005
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The following problem is solved: In a bounded domain in \(\mathbb R^2\), a finite set of points is given. A triangulation of that domain has to be found, whose vertices are the given points and which preserves, in the case of the Poisson equation, the maximum principle. It is proved that such triangulation has to be a Delaunay one.
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linear conforming finite element method
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Delaunay triangulation
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discrete maximum principle
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