The Neumann problem for the Helmholtz equation in a starlike planar domain

DOI10.1016/J.AMC.2010.01.077zbMath1188.65158OpenAlexW2112431033MaRDI QIDQ963940

Pierpaolo Natalini, A. Yarovoy, Diego Caratelli, Paolo Emilio Ricci

Publication date: 14 April 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.077

zbMATH Keywords

numerical examplesHelmholtz equationFourier seriesNeumann problemcomputer algebra systemstarlike domain

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Multi-parameter Mathieu, and alternating Mathieu series ⋮ The Dirichlet problem for the Laplace equation in supershaped annuli ⋮ Fourier-Hankel solution of the Robin problem for the Helmholtz equation in supershaped annular domains

Cites Work

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• The Dirichlet problem for the Laplace equation in a starlike domain of a Riemann surface
• On convergence and growth of partial sums of Fourier series
• Computational Electromagnetics

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