Numerical method for Oseen's linearized equations in three-dimensional exterior domains

Authors:
Kotoba Nishida
Affiliations:
Department of Mathematics and Computer Science, Faculty of Science, Kagoshima University, 1-21-35 Koorimoto-cho, Kagoshima 890-0065, Japan
Venue:
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Year:
2003

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Abstract

In this paper, we consider Oseen's linearized equations, which appear in fluid mechanics, in three-dimensional exterior domains, and propose a new numerical method based on fundamental solution method coupled with collocation method to solve this problem. We show the effectiveness of our method by numerical experiments.