On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries

Authors
Steinbach, O Wendland, WL
Citation
O. Steinbach et Wl. Wendland, On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries, J MATH ANAL, 262(2), 2001, pp. 733-748
Citations number
43
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
262
Issue
2
Year of publication
2001
Pages
733 - 748
Database
ISI
SICI code
0022-247X(20011015)262:2<733:OCNMFS>2.0.ZU;2-0
Abstract
In this paper we investigate the convergence of Carl Neumann's method for t he solution of Dirichlet or Neumann boundary values for second-order ellipt ic problems in domains with non-smooth boundaries. We prove that 1/2I + K, where K is the double-layer potential, is a contraction in H-1/2(Gamma) whe n an energy norm is used that is induced by the inverse of the single-layer potential. (C) 2001 Academic Press.