Publication: Retarded boundary integral equations on the sphere: exact and numerical solution
Retarded boundary integral equations on the sphere: exact and numerical solution
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Sauter, S., & Veit, A. (2014). Retarded boundary integral equations on the sphere: exact and numerical solution. IMA Journal of Numerical Analysis, 34(2), 675–699. https://doi.org/10.1093/imanum/drs059
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In this paper we consider the three-dimensional wave equation in unbounded domains with Dirichlet boundary conditions. We start from a retarded single-layer potential ansatz for the solution of these equations which leads to the retarded potential integral equation on the bounded surface of the scatterer. We formulate an algorithm for the space-time Galerkin discretization with smooth and compactly supported temporal basis functions, which were introduced in Sauter & Veit (2013, Numer. Math., 145-176). For the debugging of an implemen
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- Sauter, S
- Veit, A
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Sauter, S., & Veit, A. (2014). Retarded boundary integral equations on the sphere: exact and numerical solution. IMA Journal of Numerical Analysis, 34(2), 675–699. https://doi.org/10.1093/imanum/drs059
