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Nonlinear orthogonal projection

Ewa Dudek, Konstanty Holly (1994)

Annales Polonici Mathematici

We discuss some properties of an orthogonal projection onto a subset of a Euclidean space. The special stress is laid on projection's regularity and characterization of the interior of its domain.

Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners

Larisa Beilina, Sergey Korotov, Michal Křížek (2005)

Applications of Mathematics

Linear tetrahedral finite elements whose dihedral angles are all nonobtuse guarantee the validity of the discrete maximum principle for a wide class of second order elliptic and parabolic problems. In this paper we present an algorithm which generates nonobtuse face-to-face tetrahedral partitions that refine locally towards a given Fichera-like corner of a particular polyhedral domain.

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