Repository: Freie Universit├Ąt Berlin, Math Department

Adaptive multilevel-methods for obstacle problems in three space dimensions

Erdmann, B. and Hoppe, R. H. W. and Kornhuber, R. (1994) Adaptive multilevel-methods for obstacle problems in three space dimensions. In: Adaptive Methods - Algorithms, Theory and Applications. Notes on Numerical Fluid Mechanics (NNFM), 46 . Vieweg+Teubner Verlag, pp. 120-141. ISBN 978-3-528-07646-7

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Official URL: http://dx.doi.org/10.1007/978-3-663-14246-1_8

Abstract

We consider the discretization of obstacle problems for second order elliptic differential operators in three space dimensions by piecewise linear finite elements. Linearizing the discrete problems by suitable active set strategies, the resulting linear sub-problems are solved iteratively by preconditioned cg-iterations. We propose a variant of the BPX preconditioner and prove an O(j) estimate for the resulting condition number To allow for local mesh refinement we derive semi-local and local a posteriori error estimates. The theoretical results are illustrated by numerical computations.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1917
Deposited By: Ekaterina Engel
Deposited On:23 Jun 2016 20:00
Last Modified:03 Mar 2017 14:42

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