Computability of series representations for Green's functions in a rectangle

DOI10.1016/j.enganabound.2006.03.010zbMath1195.65203OpenAlexW2045547823MaRDI QIDQ1958226

Max Y. Melnikov, Yuri A. Melnikov

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.03.010

zbMATH Keywords

acceleration of convergencerectangular regionLaplace and Klein-Gordon equationseries forms of Green's functions

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (4)

Derivation of Green's function using addition theorem ⋮ Fundamental solution of the Laplacian on flat tori and boundary value problems for the planar Poisson equation in rectangles ⋮ The expectation value of the number of loops and the left-passage probability in the double-dimer model ⋮ Data-driven forward discretizations for Bayesian inversion

Cites Work

• A rapidly convergent modified Green' function for Laplace' equation in a rectangular region
• Green's functions, temperature and heat flux in the rectangle
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