Smoothness results of single and double layer solutions of the Helmholtz equations

DOI10.1216/JIE-1988-1-1-83zbMath0661.65119OpenAlexW2091819739MaRDI QIDQ1113640

Tzu-Chu Lin

Publication date: 1988

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-1988-1-1-83

zbMATH Keywords

Helmholtz equationsingle and double layer solutions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (3)

The numerical solution of the exterior Dirichlet problem for Helmholtz's equation via modified Green's functions approach. ⋮ Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary ⋮ The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach

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