Preconditioning for Mixed Finite Element Formulations of Elliptic Problems

Handle URI:
http://hdl.handle.net/10754/599379
Title:
Preconditioning for Mixed Finite Element Formulations of Elliptic Problems
Authors:
Wildey, Tim; Xue, Guangri
Abstract:
In this paper, we discuss a preconditioning technique for mixed finite element discretizations of elliptic equations. The technique is based on a block-diagonal approximation of the mass matrix which maintains the sparsity and positive definiteness of the corresponding Schur complement. This preconditioner arises from the multipoint flux mixed finite element method and is robust with respect to mesh size and is better conditioned for full permeability tensors than a preconditioner based on a diagonal approximation of the mass matrix. © Springer-Verlag Berlin Heidelberg 2013.
Citation:
Wildey T, Xue G (2013) Preconditioning for Mixed Finite Element Formulations of Elliptic Problems. Domain Decomposition Methods in Science and Engineering XX: 175–182. Available: http://dx.doi.org/10.1007/978-3-642-35275-1_19.
Publisher:
Springer Science + Business Media
Journal:
Domain Decomposition Methods in Science and Engineering XX
KAUST Grant Number:
KUS-F1-032-04
Issue Date:
2013
DOI:
10.1007/978-3-642-35275-1_19
Type:
Book Chapter
ISSN:
1439-7358
Sponsors:
Guangri Xue is supported by Award No. KUS-F1-032-04, made by KingAbdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorWildey, Timen
dc.contributor.authorXue, Guangrien
dc.date.accessioned2016-02-28T05:49:58Zen
dc.date.available2016-02-28T05:49:58Zen
dc.date.issued2013en
dc.identifier.citationWildey T, Xue G (2013) Preconditioning for Mixed Finite Element Formulations of Elliptic Problems. Domain Decomposition Methods in Science and Engineering XX: 175–182. Available: http://dx.doi.org/10.1007/978-3-642-35275-1_19.en
dc.identifier.issn1439-7358en
dc.identifier.doi10.1007/978-3-642-35275-1_19en
dc.identifier.urihttp://hdl.handle.net/10754/599379en
dc.description.abstractIn this paper, we discuss a preconditioning technique for mixed finite element discretizations of elliptic equations. The technique is based on a block-diagonal approximation of the mass matrix which maintains the sparsity and positive definiteness of the corresponding Schur complement. This preconditioner arises from the multipoint flux mixed finite element method and is robust with respect to mesh size and is better conditioned for full permeability tensors than a preconditioner based on a diagonal approximation of the mass matrix. © Springer-Verlag Berlin Heidelberg 2013.en
dc.description.sponsorshipGuangri Xue is supported by Award No. KUS-F1-032-04, made by KingAbdullah University of Science and Technology (KAUST).en
dc.publisherSpringer Science + Business Mediaen
dc.titlePreconditioning for Mixed Finite Element Formulations of Elliptic Problemsen
dc.typeBook Chapteren
dc.identifier.journalDomain Decomposition Methods in Science and Engineering XXen
dc.contributor.institutionSandia National Laboratories, New Mexico, Albuquerque, United Statesen
dc.contributor.institutionUniversity of Texas at Austin, Austin, United Statesen
dc.contributor.institutionRoyal Dutch Shell, Den Haag, Netherlandsen
kaust.grant.numberKUS-F1-032-04en
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