Boundary-distribution solution of the Helmholtz equation for a region with corners

DOI10.1016/0021-9991(79)90060-3zbMath0409.65050OpenAlexW2049451120MaRDI QIDQ1259153

R. J. jun. Riddell

Publication date: 1979

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/31d6x5vf

zbMATH Keywords

Mellin transformsingular integral equationsHelmholtz equationSchmidt methodboundaryFredholm equationspotential distributionsharp corner

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Integral equations with kernels of Cauchy type (45E05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Relativistic quantum chaos, On the solution of the Helmholtz equation on regions with corners, Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary, Numerical experiments on quantum chaotic billiards, Numerical solution of the Helmholtz equation for two-dimensional polygonal regions, Suppression of spurious frequencies in scattering problems by means of boundary algebraic and combined field equations, Maximum norms of chaotic quantum eigenstates and random waves, A matrix element for chaotic tunnelling rates and scarring intensities, Boundary Integral Method for Stationary States of Two-Dimensional Quantum Systems

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