✦ LIBER ✦

Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems

✍ Scribed by R. Glowinski; Yu. Kuznetsov

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 221 KB
Volume: 196
Category: Article
ISSN: 0045-7825
DOI: 10.1016/j.cma.2006.05.013

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✦ Synopsis

In this article we further investigate the solution of linear second order elliptic boundary value problems by distributed Lagrange multipliers based fictitious domain methods. The following issues are addressed: (i) Derivation of the fictitious domain formulations. (ii) Finite element approximation. (iii) Iterative solution of the resulting finite dimensional problems (of the saddle-point type) by preconditioned conjugate gradient and Lanczos algorithms.

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