Universität zu Köln

Heinlein, A., Hetmaniuk, U., Klawonn, A. and Rheinbach, O. (2015). The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results. J. Comput. Appl. Math., 289. S. 116 - 134. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1879-1778

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Abstract

A special finite element method based on approximate component mode synthesis (ACMS) was introduced in Hetmaniuk and Lehoucq (2010). ACMS was developed for second order elliptic partial differential equations with rough or highly varying coefficients. Here, a parallel implementation of ACMS is presented and parallel scalability issues are discussed for representative examples. Additionally, a parallel domain decomposition preconditioner (FETI-DP) is applied to solve the ACMS finite element system. Weak parallel scalability results for ACMS are presented for up to 1024 cores. Our numerical results also suggest a quadratic-logarithmic condition number bound for the preconditioned FETI-DP method applied to ACMS discretizations. (C) 2015 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Heinlein, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Hetmaniuk, U. UNSPECIFIED UNSPECIFIED UNSPECIFIED Klawonn, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Rheinbach, O. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-386648
DOI:	10.1016/j.cam.2015.02.053
Journal or Publication Title:	J. Comput. Appl. Math.
Volume:	289
Page Range:	S. 116 - 134
Date:	2015
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1879-1778
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language PRIMAL FETI METHODS; DOMAIN DECOMPOSITION; LINEAR ELASTICITY; ELLIPTIC PROBLEMS; DP METHODS; BDDC Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/38664