Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

0374145 - MÚ 2012 RIV NL eng M - Monography Chapter
Brandts, J. - Korotov, S. - Křížek, Michal
A geometric toolbox for tetrahedral finite elements partitions.
Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations. 1. Bussum: Bentham Science Publishers Ltd, 2011 - (Axelsson, O.; Karátson, J.), s. 103-122. ISBN 978-1-60805-291-2
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : finite element methods * tetrahedron * polyhedral domain
Subject RIV: BA - General Mathematics
http://www.eurekaselect.com/51823/chapter/a-geometric-toolbox-for-tetrahedral-finite-element-partitions

In this work we present a survey of some geometric results on tetrahedral partitions and their refinements in a unified manner. They can be used for mesh generation and adaptivity in practical calculations by the finite element method (FEM), and also in theoretical finite element (FE) analysis. Special emphasis is laid on the correspondence between relevant results and terminology used in FE computations, and those established in the area of discrete and computational geometry (DCG).
Permanent Link: http://hdl.handle.net/11104/0207129