Laplace equation and Poisson integral

DOI10.1016/S0096-3003(02)00499-XzbMath1032.65136MaRDI QIDQ1412459

Hashem Mehrazin

Publication date: 25 November 2003

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

zbMATH Keywords

periodic solutionPoisson integralLaplace equationintegral equation methodtrigonometric intrals

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

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• On the solution of a partial differential equation arising in Stokes flow
• Analytic solution for fluxes at interior points for the 2D Laplace equation.
• A direct spectral collocation Poisson solver in polar and cylindrical coordinates
• On the integrability of linear and nonlinear partial differential equations
• The Dirichlet problem for the two-dimensional Laplace equation in a multiply connected domain with cuts
• The Cauchy problem for Laplace's equation via the conjugate gradient method

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