An efficient spectral-Galerkin approximation based on dimension reduction scheme for transmission eigenvalues in polar geometries

DOI10.1016/j.camwa.2020.05.018zbMath1447.65124OpenAlexW3033453049MaRDI QIDQ2194813

Ting Tan, Shixian Ren, Jing An

Publication date: 7 September 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.05.018

zbMATH Keywords

error estimationspectral-Galerkin methodcircular domaintransmission eigenvalue problemdimension reduction scheme

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Boundary value problems for second-order elliptic systems (35J57)

Related Items

A novel spectral approximation and error estimation for transmission eigenvalues in spherical domains

Uses Software

• Algorithm 922

Cites Work

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