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Numerical solution of scalar wave equation by the modified radial integration boundary element method. (English) Zbl 1464.65108

Summary: A radial integration boundary element method is applied to the analysis of two-dimensional scalar wave equation problem. Based on two kinds of fundamental solutions, two types of the integral equation is derived for solution of wave problem. Time domain integrals which are imposed to the solution are implemented using an efficient modified formulation of the radial integration method for concave shapes which was recently introduced in [the authors, ibid. 87, 111–121 (2018; Zbl 1403.74201)]. This boundary only element approach is applied to Newmark and Houbolt time stepping methods. Performance of the implemented formulation is evaluated using several numerical examples.

MSC:

65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs

Citations:

Zbl 1403.74201
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Full Text: DOI

References:

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