H(curl) Auxiliary Mesh Preconditioning

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This paper analyzes a two-level preconditioning scheme for H(curl) bilinear forms. The scheme utilizes an auxiliary problem on a related mesh that is more amenable for constructing optimal order multigrid methods. More specifically, we analyze the case when the auxiliary mesh only approximately covers the original domain. The latter assumption is important since it allows for easy construction of nested multilevel spaces on regular auxiliary meshes. Numerical experiments in both two and three space dimensions illustrate the optimal performance of the method.

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PDF-file: 18 pages; size: 0.7 Mbytes

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Kolev, T V; Pasciak, J E & Vassilevski, P S August 31, 2006.

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This paper analyzes a two-level preconditioning scheme for H(curl) bilinear forms. The scheme utilizes an auxiliary problem on a related mesh that is more amenable for constructing optimal order multigrid methods. More specifically, we analyze the case when the auxiliary mesh only approximately covers the original domain. The latter assumption is important since it allows for easy construction of nested multilevel spaces on regular auxiliary meshes. Numerical experiments in both two and three space dimensions illustrate the optimal performance of the method.

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PDF-file: 18 pages; size: 0.7 Mbytes

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  • Journal Name: Numerical Linear Algebra with Apllications, vol. 15, no. 5, January 6, 2008, pp. 455 - 471; Journal Volume: 15; Journal Issue: 5

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  • Report No.: UCRL-JRNL-224227
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 936707
  • Archival Resource Key: ark:/67531/metadc897107

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  • August 31, 2006

Added to The UNT Digital Library

  • Sept. 27, 2016, 1:39 a.m.

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  • Dec. 7, 2016, 3:08 p.m.

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Kolev, T V; Pasciak, J E & Vassilevski, P S. H(curl) Auxiliary Mesh Preconditioning, article, August 31, 2006; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc897107/: accessed December 10, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.