A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition

Handle URI:
http://hdl.handle.net/10754/597322
Title:
A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition
Authors:
Bonito, Andrea; Pasciak, Joseph E.
Abstract:
We discuss the preconditioning of systems coupling elliptic operators in Ω⊂Rd, d=2,3, with elliptic operators defined on hypersurfaces. These systems arise naturally when physical phenomena are affected by geometric boundary forces, such as the evolution of liquid drops subject to surface tension. The resulting operators are sums of interior and boundary terms weighted by parameters. We investigate the behavior of multigrid algorithms suited to this context and demonstrate numerical results which suggest uniform preconditioning bounds that are level and parameter independent.
Citation:
Bonito A, Pasciak JE (2013) A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition. Springer Proceedings in Mathematics & Statistics: 69–79. Available: http://dx.doi.org/10.1007/978-1-4614-7172-1_4.
Publisher:
Springer Science + Business Media
Journal:
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
2013
DOI:
10.1007/978-1-4614-7172-1_4
Type:
Book Chapter
ISSN:
2194-1009; 2194-1017
Sponsors:
This work was supported in part by award number KUS-C1-016-04 madeby King Abdulla University of Science and Technology (KAUST). It was also supported in part bythe National Science Foundation through Grant DMS-0914977 and DMS-1216551.
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Full metadata record

DC FieldValue Language
dc.contributor.authorBonito, Andreaen
dc.contributor.authorPasciak, Joseph E.en
dc.date.accessioned2016-02-25T12:30:40Zen
dc.date.available2016-02-25T12:30:40Zen
dc.date.issued2013en
dc.identifier.citationBonito A, Pasciak JE (2013) A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition. Springer Proceedings in Mathematics & Statistics: 69–79. Available: http://dx.doi.org/10.1007/978-1-4614-7172-1_4.en
dc.identifier.issn2194-1009en
dc.identifier.issn2194-1017en
dc.identifier.doi10.1007/978-1-4614-7172-1_4en
dc.identifier.urihttp://hdl.handle.net/10754/597322en
dc.description.abstractWe discuss the preconditioning of systems coupling elliptic operators in Ω⊂Rd, d=2,3, with elliptic operators defined on hypersurfaces. These systems arise naturally when physical phenomena are affected by geometric boundary forces, such as the evolution of liquid drops subject to surface tension. The resulting operators are sums of interior and boundary terms weighted by parameters. We investigate the behavior of multigrid algorithms suited to this context and demonstrate numerical results which suggest uniform preconditioning bounds that are level and parameter independent.en
dc.description.sponsorshipThis work was supported in part by award number KUS-C1-016-04 madeby King Abdulla University of Science and Technology (KAUST). It was also supported in part bythe National Science Foundation through Grant DMS-0914977 and DMS-1216551.en
dc.publisherSpringer Science + Business Mediaen
dc.titleA Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Conditionen
dc.typeBook Chapteren
dc.identifier.journalNumerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applicationsen
dc.contributor.institutionDepartment of Mathematics, Texas A&M University, College Station, TX, 77843-3368, USAen
kaust.grant.numberKUS-C1-016-04en
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