A Multilevel Method for Solving Operator Equations
We develop a multilevel method suitable for solving operator equations. This method combines the multiresolution structure of the spaces used to solve the operator equation with a Gauss–Seidel strategy to solve the associated matrix equations. We prove that this multilevel scheme has an optimal orde...
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Veröffentlicht in: | Journal of mathematical analysis and applications 2001-10, Vol.262 (2), p.688-699 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We develop a multilevel method suitable for solving operator equations. This method combines the multiresolution structure of the spaces used to solve the operator equation with a Gauss–Seidel strategy to solve the associated matrix equations. We prove that this multilevel scheme has an optimal order of convergence and provide an application of it to the solution of second kind integral equations. |
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ISSN: | 0022-247X 1096-0813 |
DOI: | 10.1006/jmaa.2001.7599 |