L. Beilina, Department of Mathematics, University of Basel, Rheinsprung 21, CH-4051 Basel, Switzerland, e-mail: firstname.lastname@example.org; S. Korotov, Helsinki University of Technology, Institute of Mathematics, P.O. Box 1100, FI-02015 Espoo, Finland, e-mail: email@example.com; Michal Krizek, Mathematical Institute of the Academy of Sciences of the Czech Republic, Zitna 25, CZ-115 67 Praha 1, Czech Republic, e-mail: firstname.lastname@example.org
Abstract: 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.
Keywords: partial differential equations, finite element method, path tetrahedron, linear tetrahedral finite element, discrete maximum principle, reentrant corner, Fichera vertex, nonlinear heat conduction
Classification (MSC 2000): 65N30, 65N50, 51M20
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at email@example.com.
Subscribers of Springer need to access the articles on their site, which is http://www.springeronline.com/10492.