A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space

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• 作者：Heiko Gimperlein ; Zouhair Nezhi and Ernst P. Stephan
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2017
• 出版时间：30 January 2017
• 年：2017
• 卷：40
• 期：2
• 页码：448-462
• 全文大小：281K
• ISSN：1099-1476

文摘

We investigate a time-domain Galerkin boundary element method for the wave equation outside a Lipschitz obstacle in an absorbing half-space. A priori estimates are presented for both closed surfaces and screens, and we discuss the relevant properties of anisotropic Sobolev spaces and the boundary integral operators between them. Copyright