Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


Numerical solution of differential and integral equations

Preconditioning by Domain Decomposition for Mixed Formulation of Anisotropic Problems

Nepomnyaschikh S.V., Park E.J., Park J.

ICMMG (Novosibirsk),
Yonsei University (Korea),
R & D group,
Korea Telecom (Korea),

We investigate certain preconditioning techniques for a domain decomposition method based on mixed finite element approximations of elliptic problems with anisotropic coefficients in domains. The trace theorem for anisotropic rectangles with anisotropic grids is the main tool in constructing and studying effective domain decomposition preconditioners. In this paper we consider a general distribution of subdomains including the so-called "cross point case". To construct effective domain decomposition preconditioners, we use the Chebyshev polynomials. Numerical experiments verify the performance of the proposed domain decomposition algorithm.

Note. Abstracts are published in author's edition

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