Elliptic PDEs with constant coefficients on convex polyhedra via the unified method

DOI10.1016/j.jmaa.2014.12.027zbMath1312.35061OpenAlexW2017130934MaRDI QIDQ486546

Anthony C. L. Ashton

Publication date: 16 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.12.027

zbMATH Keywords

constant coefficient second order elliptic PDEsconvex polyhedronsEhrenpreis representationFokas' unified methodintegral representation to the solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15)

Related Items (6)

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 ⋮ A Hybrid Analytical-Numerical Technique for Elliptic PDEs ⋮ On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains ⋮ Accuracy controlled data assimilation for parabolic problems

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• The Spectral Dirichlet--Neumann Map for Laplace's Equation in a Convex Polygon

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