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On C. Neumann's Method for Second-Order Elliptic Systems in Domains with Non-smooth Boundaries

✍ Scribed by O. Steinbach; W.L. Wendland

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 117 KB
Volume: 262
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7615

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✦ Synopsis

In this paper we investigate the convergence of Carl Neumann's method for the solution of Dirichlet or Neumann boundary values for second-order elliptic prob-1 lems in domains with non-smooth boundaries. We prove that I q K, where K is 2 1r 2 Ž . the double-layer potential, is a contraction in H ⌫ when an energy norm is used that is induced by the inverse of the single-layer potential.

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