Laplace's equation on convex polyhedra via the unified method

We provide a new method to study the classical Dirichlet problem for Laplace's equation on a convex polyhedron. This new approach was motivated by Fokas' unified method for boundary value problems. The central object in this approach is the global relation: an integral equation which coupl...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2015-04, Vol.471 (2176), p.1-18
1. Verfasser:	Ashton, A. C. L.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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