A preconditioner for the FETI-DP formulation with mortar methods in two dimensions

In this paper, we consider a dual-primal FETI (FETI-DP) method for elliptic problems on nonmatching grids. The FETI-DP method is a domain decomposition method that uses Lagrange multipliers to match solutions continuously across subdomain boundaries in the sense of dual-primal variables. We use the mortar matching condition as the continuity constraints for the FETI-DP formulation. We construct a preconditioner for the FETI-DP operator and show that the condition number of the preconditioned FETI-DP operator is bounded by C max/i=1,...,N {(1 + log (H-i/h(i)))(2)}, where H-i and h(i) are sizes of domain and mesh for each subdomain, respectively, and C is a constant independent of H-i's and h(i)'s. We allow jumps of coefficients of elliptic problems across subdomain boundaries. Numerical results are included.
Publisher
SIAM PUBLICATIONS
Issue Date
2005
Language
ENG
Citation

SIAM JOURNAL ON NUMERICAL ANALYSIS, v.42, no.5, pp.2159 - 2175

ISSN
0036-1429
DOI
10.1137/S0036142903423381
URI
http://hdl.handle.net/10203/8511
Appears in Collection
MA-Journal Papers(저널논문)
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