Geodesic
Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners
Applications of Mathematics, Tome 50 (2005) no. 6, pp. 569-581
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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.
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.
DOI : 10.1007/s10492-005-0038-7
Classification : 51M20, 65N30, 65N50
Keywords: partial differential equations; finite element method; path tetrahedron; linear tetrahedral finite element; discrete maximum principle; reentrant corner; Fichera vertex; nonlinear heat conduction 
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     title = {Nonobtuse tetrahedral partitions that refine locally towards {Fichera-like} corners},
     journal = {Applications of Mathematics},
     pages = {569--581},
     year = {2005},
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Beilina, Larisa; Korotov, Sergey; Křížek, Michal. Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners. Applications of Mathematics, Tome 50 (2005) no. 6, pp. 569-581. doi: 10.1007/s10492-005-0038-7

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