Klawonn, Axel; Rheinbach, Oliver:
Robust FETI-DP Methods for Heterogeneous Three Dimensional Elasticity Problems
In: Computer Methods in Applied Mechanics and Engineering, Jg. 196 (2007), Heft 8, S. 1400 - 1414
2007Artikel/Aufsatz in Zeitschrift
MathematikFakultät für Mathematik
Damit verbunden: 1 Publikation(en)
Titel in Englisch:
Robust FETI-DP Methods for Heterogeneous Three Dimensional Elasticity Problems
Autor*in:
Klawonn, AxelUDE
GND
114308489
LSF ID
5339
ORCID
0000-0003-0548-4350ORCID iD
ORCID
0000-0003-4765-7387ORCID iD
Sonstiges
der Hochschule zugeordnete*r Autor*in
;
Rheinbach, OliverUDE
LSF ID
5604
ORCID
0000-0002-9310-8533ORCID iD
Sonstiges
der Hochschule zugeordnete*r Autor*in
Erscheinungsjahr:
2007
Sprache des Textes:
Englisch

Abstract:

Iterative substructuring methods with Lagrange multipliers for elliptic problems are considered. The algorithms belong to the family of dual-primal FETI methods which were introduced for linear elasticity problems in the plane by Farhat et al. [2001] and were later extended to three dimensional elasticity problems by Farhat et al. [2000]. Recently, the family of algorithms for scalar diffusion problems was extended to three dimensions and successfully analyzed by Klawonn et al. [2002a,b]. It was shown that the condition number of these dual-primal FETI algorithms can be bounded polylogarithmically as a function of the dimension of the individual subregion problems and that the bounds are otherwise independent of the number of subdomains, the mesh size, and jumps in the diffusion coefficients. In this article, numerical results for some of these algorithms are presented and their relation to the theoretical bounds is studied. The algorithms have been implemented in PETSc, see Balay et al. [2001], and their parallel scalability is analyzed.