Hierarchical Absorbing Interface Conditions for Wave Propagation on Non-Uniform Meshes  

作　　者：Shuyang Dai Zhiyuan Sun Fengru Wang Jerry Zhijian Yang Cheng Yuan 

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China [2]Computational Science Hubei Key Laboratory,Wuhan University,Wuhan 430072,P.R.China [3]Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,Hubei,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2022年第1期251-278,共28页高等学校计算数学学报（英文版）

基　　金：supported by the National Key Research and Development Program of China(Grant No.2020YFA0714200);by the National Natural Science Foundation of China(Grants No.12125103,12071362,12101062);by China Postdoctoral Sci-ence Foundation(Grant No.2019M660558);by the Natural Science Foundation of Hubei Province(Grant No.2019CFA007)。

摘　　要：In this paper,we propose hierarchical absorbing interface conditions to solve the problem of wave propagation in domains with a non-uniform space discretization or grid size inhomogeneity using Pad´e Via Lanczos(PVL)method.The proposed interface conditions add an auxiliary variable in the wave system to eliminate the spurious reflection at the interface between regions with different mesh sizes.The auxiliary variable with proper boundary condition can suppress the spurious reflection by cancelling the boundary source term produced by the space inhomogeneity in variational perspective.The new hierarchical interface conditions with the help of PVL implementation can effectively reduce the degree of freedom in solving the wave propagation problem.

关 键 词：Wave equation absorbing interface condition spurious reflection Pad´e via Lanczos 

分 类 号：O17[理学—数学]