Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem  

作　　者：Yunyun Ma Jiguang Sun 

机构地区：[1]School of Computer Science and Technology,Dongguan University of Technology,Dongguan 523808,P.R.China [2]Department ofMathematical Sciences,Michigan TechnologicalUniversity,Houghton,MI 49931,U.S.A.

出　　处：《Communications in Computational Physics》2022年第5期1546-1560,共15页计算物理通讯（英文）

基　　金：supported by the NSFC under grant No.11901085.

摘　　要：We propose a numerical method for a non-selfadjoint Steklov eigenvalue problem of the Helmholtz equation.The problem is formulated using boundary integrals.The Nyström method is employed to discretize the integral operators,which leads to a non-Hermitian generalized matrix eigenvalue problems.The spectral indicator method(SIM)is then applied to calculate the(complex)eigenvalues.The convergence is proved using the spectral approximation theory for(non-selfadjoint)compact operators.Numerical examples are presented for validation.

关 键 词：Steklov eigenvalues non-selfadjoint problems integral equations Nyström method spectral projection 

分 类 号：O17[理学—数学]