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

作者：Gimperlein Heiko^*; Nezhi Zouhair; Stephan Ernst P

来源：Mathematical Methods in the Applied Sciences, 2017, 40(2): 448-462.

DOI：10.1002/mma.3340

• time-domain boundary integral equations
• boundary element method
• a priori error estimates

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.

• 出版日期2017-1-30