Discrete Sobolev-Poincare inequalities for Voronoi finite volume approximations

We prove a discrete Sobolev-Poincare inequality for functions with arbitrary boundary values on Voronoi finite volume meshes. We use Sobolev's integral representation and estimate weakly singular integrals in the context of finite volumes. We establish the result for star shaped polyhedral doma...

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Hauptverfasser:	Glitzky, Annegret, Griepentrog, Jens André
Format:	Report
Sprache:	eng
Schlagworte:	Discrete Sobolev inequality Sobolev integral representation Voronoi finite volume mesh
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