Laplace's equation on convex polyhedra via the unified method

DOI10.1098/rspa.2014.0884zbMath1371.35026OpenAlexW2101368399WikidataQ52388861 ScholiaQ52388861MaRDI QIDQ5362404

Anthony C. L. Ashton

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2014.0884

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for partial differential equations, boundary value problems (65N99) Green's functions for elliptic equations (35J08)

Related Items (5)

Numerical analysis of Fokas' unified method for linear elliptic PDEs ⋮ Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons ⋮ Fourier-Mellin transforms for circular domains ⋮ Elliptic PDEs with constant coefficients on convex polyhedra via the unified method ⋮ On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains

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