About Delaunay triangulations and discrete maximum principles for the linear conforming FEM applied to the Poisson equation.
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.
scientific article; zbMATH DE number 2158699
scientific article