A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain

AMS Citation:
Fornberg, B., and N. Flyer, 2011: A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain. Proceedings of the Royal Society. Series A, Mathematical Physical & Engineering Sciences, 457, 2983-3003, doi:10.1098/rspa.2011.0032.
Date:2011-10-01
Resource Type:article
Title:A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain
Abstract: A recently discovered transform approach allows a large class of PDEs to be solved in terms of boundary and/or contour integrals. We introduce here a spectrally accurate numerical discretization of this approach for the case of Laplace's equation on a polygonal domain, and compare it against an also spectrally accurate implementation of the traditional boundary integral formulation.
Subject(s):boundary integral method, global equations, Dirichlet-to-Neumann map, Laplace equation, Fokas transform method, polygonal domain
Peer Review:Refereed
Copyright Information:An edited version of this paper was published by The Royal Society. Copyright 2011 The Royal Society.
OpenSky citable URL: ark:/85065/d7s46tpt
Publisher's Version: 10.1098/rspa.2011.0032
Author(s):
  • Bengt Fornberg
  • Natasha Flyer - NCAR/UCAR
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