2010•Journal of Anqing Teachers CollegeRequires access

Overlapping Method of Bi-harmonic Equation over a Cave Domain

Wang Shou-cheng

Abstract

Based on alternating process,this paper presents a kind of domain decomposition method of bi-harmonic equation over the unbounded half plane with a cave.And the convergence of the method is analyzed.It divides the domain into two parts,the one is bounded,while the other is a half plane.According to the natural boundary reduction theory,the finite element method and the boundary element one can be used respectively on them in an alternating way.

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Key concepts: Domain (mathematical analysis), Mathematical analysis, Mathematics, Convergence (economics), Bounded function, Finite element method, Boundary (topology), Harmonic