Universität zu Köln

Klawonn, Axel ORCID: 0000-0003-4765-7387, Lanser, Martin ORCID: 0000-0002-4232-9395 and Rheinbach, Oliver ORCID: 0000-0002-9310-8533 (2014). NONLINEAR FETI-DP AND BDDC METHODS. SIAM J. Sci. Comput., 36 (2). S. A737 - 29. PHILADELPHIA: SIAM PUBLICATIONS. ISSN 1095-7197

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Abstract

New nonlinear FETI-DP (dual-primal finite element tearing and interconnecting) and BDDC (balancing domain decomposition by constraints) domain decomposition methods are introduced. In all these methods, in each iteration, local nonlinear problems are solved on the subdomains. The new approaches can significantly reduce communication and show a significantly improved performance, especially for problems with localized nonlinearities, compared to a standard Newton-Krylov-FETI-DP or BDDC approach. Moreover, the coarse space of the nonlinear FETI-DP methods can be used to accelerate the Newton convergence. It is also found that the new nonlinear FETI-DP and nonlinear BDDC methods are not as closely related as in the linear context. Numerical results for the p-Laplace operator are presented.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klawonn, Axel UNSPECIFIED orcid.org/0000-0003-4765-7387 UNSPECIFIED Lanser, Martin UNSPECIFIED orcid.org/0000-0002-4232-9395 UNSPECIFIED Rheinbach, Oliver UNSPECIFIED orcid.org/0000-0002-9310-8533 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-450366
DOI:	10.1137/130920563
Journal or Publication Title:	SIAM J. Sci. Comput.
Volume:	36
Number:	2
Page Range:	S. A737 - 29
Date:	2014
Publisher:	SIAM PUBLICATIONS
Place of Publication:	PHILADELPHIA
ISSN:	1095-7197
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ITERATIVE SUBSTRUCTURING METHODS; DOMAIN DECOMPOSITION METHODS; PART I; PRECONDITIONERS; CONVERGENCE; CONNECTIONS; SCALABILITY Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/45036