Convergence analysis of a coupled method for Helmholtz equation

DOI10.1080/17476933.2012.755674zbMath1291.65345OpenAlexW1994318194MaRDI QIDQ5417844

Shuhuang Xiang, Song-Hua Li

Publication date: 22 May 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.755674

zbMATH Keywords

Helmholtz equationhypersingular integral equationNyström methodcoupled method

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Numerical solution for exterior problems
• A fast numerical method for a natural boundary integral equation for the Helmholtz equation
• WAVELET SOLUTIONS FOR TIME HARMONIC ACOUSTIC WAVES IN A FINITE OCEAN
• Convergence Analysis of a Coupled Finite Element and Spectral Method in Acoustic Scattering
• Optimal Finite-Element Interpolation on Curved Domains
• Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction: I
• Interpolated Boundary Conditions in the Finite Element Method
• An analysis of the coupling of finite-element and Nyström methods in acoustic scattering
• An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems
• A numerical method based on the generalized Shannon–Whittaker representation theorem for solving Helmholtz equation