Universität zu Köln

Klawonn, A., Radtke, P. and Rheinbach, O. (2015). FETI-DP METHODS WITH AN ADAPTIVE COARSE SPACE. SIAM J. Numer. Anal., 53 (1). S. 297 - 321. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7170

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Abstract

A coarse space is constructed for the dual-primal finite element tearing and interconnecting (FETI-DP) domain decomposition method applied to highly heterogeneous problems by solving local generalized eigenvalue problems. For certain problems with highly varying coefficients, e.g., from multiscale simulations, the coefficient jump will appear in the condition number bound even if standard techniques such as scaling and the weighting of constraints are used. The FETI-DP theory is revisited and two central estimates are identified where the dependency on the coefficient contrast can enter the condition number bound. The first is a Poincare inequality and the second an extension theorem. These estimates are replaced by local eigenvalue problems. Enriching the FETI-DP coarse space by a few numerically computed eigenvectors yields independence of the contrast of the coefficients even in challenging situations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klawonn, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Radtke, P. UNSPECIFIED UNSPECIFIED UNSPECIFIED Rheinbach, O. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-416733
DOI:	10.1137/130939675
Journal or Publication Title:	SIAM J. Numer. Anal.
Volume:	53
Number:	1
Page Range:	S. 297 - 321
Date:	2015
Publisher:	SIAM PUBLICATIONS
Place of Publication:	PHILADELPHIA
ISSN:	1095-7170
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DOMAIN DECOMPOSITION PRECONDITIONERS; ITERATIVE SUBSTRUCTURING METHODS; STRUCTURAL-ANALYSIS PROBLEMS; HIGH-CONTRAST MEDIA; LINEAR ELASTICITY; ENERGY MINIMIZATION; MULTISCALE FLOWS; BDDC; CONSTRAINTS; SUBDOMAINS Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41673