Universität zu Köln

Hetmaniuk, Ulrich and Klawonn, Axel ORCID: 0000-0003-4765-7387 (2014). ERROR ESTIMATES FOR A TWO-DIMENSIONAL SPECIAL FINITE ELEMENT METHOD BASED ON COMPONENT MODE SYNTHESIS. Electron. Trans. Numer. Anal., 41. S. 109 - 133. KENT: KENT STATE UNIVERSITY. ISSN 1068-9613

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Abstract

This paper presents a priori error estimates for a special finite element discretization based on component mode synthesis. The basis functions exploit an orthogonal decomposition of the trial subspace to minimize the energy and are expressed in terms of local eigenproblems. The a priori error bounds state the explicit dependency of constants with respect to the mesh size and the first neglected eigenvalues. A residual-based a posteriori error indicator is derived. Numerical experiments on academic problems illustrate the sharpness of these bounds.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Hetmaniuk, Ulrich UNSPECIFIED UNSPECIFIED UNSPECIFIED Klawonn, Axel UNSPECIFIED orcid.org/0000-0003-4765-7387 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-449026
Journal or Publication Title:	Electron. Trans. Numer. Anal.
Volume:	41
Page Range:	S. 109 - 133
Date:	2014
Publisher:	KENT STATE UNIVERSITY
Place of Publication:	KENT
ISSN:	1068-9613
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ELLIPTIC PROBLEMS Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/44902