Erdmann, B. and Hoppe, R. H. W. and Kornhuber, R. (1994) Adaptive multilevelmethods 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. 120141. ISBN 9783528076467

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Official URL: http://dx.doi.org/10.1007/9783663142461_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 subproblems are solved iteratively by preconditioned cgiterations. 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 semilocal 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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