THE NYSTROM METHOD FOR ELASTIC WAVE SCATTERINGBY UNBOUNDED ROUGH SURFACES  

作　　者：Jianliang Li Xiaoli Liu Bo Zhang Haiwen Zhang 

机构地区：[1]Key Laboratory of Computing and Stochastic Mathematics,School of Mathematics and Statistics,Hunan Normal University,Changsha,Hunan 410081,China [2]School of Mathematical Sciences,Beihang University,Beijing 100191,China [3]LSEC and Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [4]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [5]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Journal of Computational Mathematics》2024年第5期1407-1426,共20页计算数学（英文）

基　　金：supported by the National Key R&D Program of China(Grant 2018YFA0702502);the Beijing Natural Science Foundation(Grant Z210001);the NNSF of China(Grants 12171057,12271515,12201023);the Youth Innovation Promotion Association CAS,by the Education Department of Hunan Province(Grant 21B0299);the Fundamental Research Funds for the Central Universities(Grant YWF-23-Q-1026,YWF-22-T-204)。

摘　　要：We consider a numerical algorithm for the two-dimensional time-harmonic elastic wave scattering by unbounded rough surfaces with Dirichlet boundary condition.A Nystr¨om method is proposed for the scattering problem based on the integral equation method.Convergence of the Nystr¨om method is established with convergence rate depending on the smoothness of the rough surfaces.In doing so,a crucial role is played by analyzing the singularities of the kernels of the relevant boundary integral operators.Numerical experiments are presented to demonstrate the effectiveness of the method.Mathematics subject classification:35P25,45P05.

关 键 词：Elastic wave scattering Unbounded rough surface Nystrom method 

分 类 号：O24[理学—计算数学]