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

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.

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An edited version of this paper was published by The Royal Society. Copyright 2011 The Royal Society.
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Author Fornberg, Bengt
Flyer, Natasha
Publisher UCAR/NCAR - Library
Publication Date 2011-10-01T00:00:00
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Topic Category geoscientificInformation
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Metadata Date 2023-08-18T18:23:00.504488
Metadata Record Identifier edu.ucar.opensky::articles:19065
Metadata Language eng; USA
Suggested Citation Fornberg, Bengt, Flyer, Natasha. (2011). A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain. UCAR/NCAR - Library. http://n2t.net/ark:/85065/d7s46tpt. Accessed 16 March 2025.

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