| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 499237 | Computer Methods in Applied Mechanics and Engineering | 2009 | 11 Pages |
Abstract
In this paper we investigate the discretization of an elliptic boundary value problem in 3D by means of the hp -version of the finite element method using a mesh of hexahedrons. The corresponding linear system is solved by a preconditioned conjugate gradient method. The construction of the preconditioner is based on an inexact additive overlapping Schwarz method. The remaining subproblems are treated by a tensor product based preconditioner. This preconditioner uses a basis transformation into a basis which is stable in L2L2 and H1H1. Several numerical examples show the efficiency of the proposed method.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Sven Beuchler,