A class of unified transform techniques for solving linear elliptic PDEs in convex polygons

DOI10.1016/J.APNUM.2018.03.007zbMath1394.65154OpenAlexW2793460716WikidataQ114208316 ScholiaQ114208316MaRDI QIDQ1748062

Christos K. Filelis-Papadopoulos, George A. Gravvanis, Eleftherios-Nektarios G. Grylonakis

Publication date: 2 May 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.03.007

zbMATH Keywords

global relationsunified transformcompact spatial-stepping

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (2)

A hybrid method for solving inhomogeneous elliptic PDEs based on Fokas method ⋮ The Unified Transform and the Water Wave Problem

Uses Software

• SumTools

Cites Work

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