A Schwarz Preconditioner for a Hybridized Mixed Method
Abstract: In this paper, we provide a Schwarz preconditioner for the hybridized versions of the Raviart-Thomas and Brezzi-Douglas-Marini mixed methods. The preconditioner is for the linear equation for Lagrange multipliers arrived at by eliminating the flux as well as the primal variable. We also prove a condition number estimate for this equation when no preconditioner is used. Although preconditioners for the lowest-order case of the Raviart-Thomas method have been constructed previously by exploiting its connection with a nonconforming method, our approach is different in that we use a new variational characterization of the Lagrange multiplier equation. This allows us to precondition even the higher-order cases of these methods.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A Schwarz Preconditioner for a Hybridized Mixed Method ; volume:3 ; number:1 ; year:2003 ; pages:116-134
Computational methods in applied mathematics ; 3, Heft 1 (2003), 116-134
- Creator
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Gopalakrishnan, Jayadeep
- DOI
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10.2478/cmam-2003-0009
- URN
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urn:nbn:de:101:1-2410261613203.469331798620
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:31 AM CEST
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Associated
- Gopalakrishnan, Jayadeep
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