Projected Schur complement method for solving non-symmetric systems arising from a smooth fictitious domain approach

Haslinger, Jaroslav; Kozubek, Tomáš; Kučera, Radek; Peichl, Gunther

dc.contributor.author	Haslinger, Jaroslav
dc.contributor.author	Kozubek, Tomáš
dc.contributor.author	Kučera, Radek
dc.contributor.author	Peichl, Gunther
dc.date.accessioned	2007-12-17T13:19:01Z
dc.date.available	2007-12-17T13:19:01Z
dc.date.issued	2007
dc.identifier.citation	Numerical Linear Algebra with Applications. 2007, vol. 14, issues 9, p. 713-739.	en
dc.identifier.issn	1070-5325
dc.identifier.issn	1099-1506
dc.identifier.uri	http://hdl.handle.net/10084/64507
dc.language.iso	en	en
dc.publisher	Wiley	en
dc.relation.ispartofseries	Numerical Linear Algebra with Applications	en
dc.relation.uri	http://dx.doi.org/10.1002/nla.550	en
dc.subject	saddle-point system	en
dc.subject	fictitious domain method	en
dc.subject	Schur complement	en
dc.subject	orthogonal projectors	en
dc.subject	BiCGSTAB algorithm	en
dc.subject	multigrid	en
dc.title	Projected Schur complement method for solving non-symmetric systems arising from a smooth fictitious domain approach	en
dc.type	article	en
dc.identifier.location	Není ve fondu ÚK	en
dc.description.abstract-en	This paper deals with a fast method for solving large-scale algebraic saddle-point systems arising from fictitious domain formulations of elliptic boundary value problems. A new variant of the fictitious domain approach is analyzed. Boundary conditions are enforced by control variables introduced on an auxiliary boundary located outside the original domain. This approach has a significantly higher convergence rate; however, the algebraic systems resulting from finite element discretizations are typically non-symmetric. The presented method is based on the Schur complement reduction. If the stiffness matrix is singular, the reduced system can be formulated again as another saddle-point problem. Its modification by orthogonal projectors leads to an equation that can be efficiently solved using a projected Krylov subspace method for non-symmetric operators. For this purpose, the projected variant of the BiCGSTAB algorithm is derived from the non-projected one. The behavior of the method is illustrated by examples, in which the BiCGSTAB iterations are accelerated by a multigrid strategy.	en
dc.identifier.doi	10.1002/nla.550
dc.identifier.wos	000250976900003

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Publikační činnost Katedry matematiky a deskriptivní geometrie / Publications of Department of Mathematics and Descriptive Geometry (714) [61]
Kolekce obsahuje bibliografické záznamy publikační činnosti (článků) akademických pracovníků Katedry matematiky a deskriptivní geometrie (714) v časopisech registrovaných ve Web of Science od roku 2003 po současnost.
Publikační činnost Katedry aplikované matematiky / Publications of Department of Applied Mathematics (470) [285]
Kolekce obsahuje bibliografické záznamy publikační činnosti (článků) akademických pracovníků Katedry aplikované matematiky (470) v časopisech registrovaných ve Web of Science od roku 2003 po současnost.
Publikační činnost VŠB-TUO ve Web of Science / Publications of VŠB-TUO in Web of Science [6767]
Kolekce obsahuje bibliografické záznamy článků akademických pracovníků VŠB-TUO publikovaných v časopisech indexovaných ve Web of Science od roku 1990 po současnost.

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