On C. Neumann's Method for Second-Order Elliptic Systems in Domains with Non-smooth Boundaries
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 problems in domains with non-smooth boundaries. We prove that 12I+K, where K is the double-layer potential, is a contraction in H1/2(Γ) when a...
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| Veröffentlicht in: | Journal of mathematical analysis and applications 2001-10, Vol.262 (2), p.733-748 |
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| container_title | Journal of mathematical analysis and applications |
| container_volume | 262 |
| creator | Steinbach, O. Wendland, W.L. |
| description | 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 problems in domains with non-smooth boundaries. We prove that 12I+K, where K is the double-layer potential, is a contraction in H1/2(Γ) when an energy norm is used that is induced by the inverse of the single-layer potential. |
| doi_str_mv | 10.1006/jmaa.2001.7615 |
| format | Article |
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Neumann's Method for Second-Order Elliptic Systems in Domains with Non-smooth Boundaries</atitle><jtitle>Journal of mathematical analysis and applications</jtitle><date>2001-10-15</date><risdate>2001</risdate><volume>262</volume><issue>2</issue><spage>733</spage><epage>748</epage><pages>733-748</pages><issn>0022-247X</issn><eissn>1096-0813</eissn><coden>JMANAK</coden><abstract>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 problems in domains with non-smooth boundaries. We prove that 12I+K, where K is the double-layer potential, is a contraction in H1/2(Γ) when an energy norm is used that is induced by the inverse of the single-layer potential.</abstract><cop>San Diego, CA</cop><pub>Elsevier Inc</pub><doi>10.1006/jmaa.2001.7615</doi><tpages>16</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Journal of mathematical analysis and applications, 2001-10, Vol.262 (2), p.733-748 |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; ScienceDirect Journals (5 years ago - present) |
| subjects | boundary integral equations Exact sciences and technology Integral equations Mathematical analysis Mathematics Neumann series Sciences and techniques of general use |
| title | On C. Neumann's Method for Second-Order Elliptic Systems in Domains with Non-smooth Boundaries |
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