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Analysis of finite element approxima...

Zhao, Jun.

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Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems./
Author:	Zhao, Jun.
Description:	83 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-05, Section: B, page: 2223.
Contained By:	Dissertation Abstracts International64-05B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3092718
ISBN:	0496404237

Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems.
Zhao, Jun.

Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems. - 83 p.

Source: Dissertation Abstracts International, Volume: 64-05, Section: B, page: 2223.

Thesis (Ph.D.)--Texas A&M University, 2002.

In this dissertation we are concerned with the analysis of the finite element method for the time-dependent Maxwell interface problem when Nedelec and Raviart-Thomas finite elements are employed and preconditioning of the resulting linear system when implicit time schemes are used.

ISBN: 0496404237Subjects--Topical Terms:

515831
Mathematics.

Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems.
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008 130610s2002 eng d
020 $a 0496404237
035 $a (UnM)AAI3092718
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040 $a UnM $c UnM
100 1 $a Zhao, Jun. $3 1263328
245 1 0 $a Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems.
300 $a 83 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-05, Section: B, page: 2223.
500 $a Chair: Joseph E. Pasciak.
502 $a Thesis (Ph.D.)--Texas A&M University, 2002.
520 $a In this dissertation we are concerned with the analysis of the finite element method for the time-dependent Maxwell interface problem when Nedelec and Raviart-Thomas finite elements are employed and preconditioning of the resulting linear system when implicit time schemes are used.
520 $a We first investigate the finite element method proposed by Makridakis and Monk in 1995. After studying the regularity of the solution to time dependent Maxwell's problem and providing approximation estimates for the Fortin operator, we are able to give the optimal error estimate for the semi-discrete scheme for Maxwell's equations.
520 $a We then study preconditioners for linear systems arising in the finite element method for time-dependent Maxwell's equations using implicit time-stepping. Such linear systems are usually very large but sparse and can only be solved iteratively. We consider overlapping Schwarz methods and multigrid methods and extend some existing theoretical convergence results. For overlapping Schwarz methods, we provide numerical experiments to confirm the theoretical analysis.
590 $a School code: 0803.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a Texas A&M University. $3 718977
773 0 $t Dissertation Abstracts International $g 64-05B.
790 1 0 $a Pasciak, Joseph E., $e advisor
790 $a 0803
791 $a Ph.D.
792 $a 2002
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3092718