Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners

Larisa Beilina; Sergey Korotov; Michal Křížek

Displaying similar documents to “Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners”

Simplicial finite elements in higher dimensions

Jan Brandts, Sergey Korotov, Michal Křížek (2007)

Applications of Mathematics

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Over the past fifty years, finite element methods for the approximation of solutions of partial differential equations (PDEs) have become a powerful and reliable tool. Theoretically, these methods are not restricted to PDEs formulated on physical domains up to dimension three. Although at present there does not seem to be a very high practical demand for finite element methods that use higher dimensional simplicial partitions, there are some advantages in studying the methods independent...

Generalization of the Zlámal condition for simplicial finite elements in $ℝ^{d}$

Jan Brandts, Sergey Korotov, Michal Křížek (2011)

Applications of Mathematics

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The famous Zlámal’s minimum angle condition has been widely used for construction of a regular family of triangulations (containing nondegenerating triangles) as well as in convergence proofs for the finite element method in $2 d$ . In this paper we present and discuss its generalization to simplicial partitions in any space dimension.