Summary
In this paper, we introduce a boundary element method recently developed by the authors. This method is particularly suitable for treating a class of two-dimensional exterior boundary-value problems with a small parameter as in acoustics, elastody-namics and fluid dynamics. These problems are all singular in some sense when the small parameter approaches zero. Here the corresponding small parameter will be the wave number, the frequency or the Reynolds number depending on the problem under consideration. In particular, we will show that this class of problems can be reduced to some system of boundary integral equations of the first kind from which asymptotic expansions for the solutions of the boundary value problems can be easily constructed both theoretically and numerically.
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References
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© 1988 Springer-Verlag Berlin Heidelberg
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Hsiao, G.C., Wendland, W.L. (1988). Boundary Element Methods for a Class of Exterior Boundary-Value Problems in Acoustics, Elastodynamics and Fluid Dynamics. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_28
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DOI: https://doi.org/10.1007/978-3-642-61381-4_28
Publisher Name: Springer, Berlin, Heidelberg
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