東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Integration of HP-adaptivity with a ...

Pardo, David.

Linked to FindBook

Google Book

Amazon

博客來

Integration of HP-adaptivity with a two grid solver: Applications to electromagnetics.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Integration of HP-adaptivity with a two grid solver: Applications to electromagnetics./
Author:	Pardo, David.
Description:	237 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-08, Section: B, page: 4200.
Contained By:	Dissertation Abstracts International65-08B.
Subject:	Engineering, Electronics and Electrical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3144666
ISBN:	0496025929

Integration of HP-adaptivity with a two grid solver: Applications to electromagnetics.
Pardo, David.

Integration of HP-adaptivity with a two grid solver: Applications to electromagnetics. - 237 p.

Source: Dissertation Abstracts International, Volume: 65-08, Section: B, page: 4200.

Thesis (Ph.D.)--The University of Texas at Austin, 2004.

In this dissertation, we have studied and implemented an efficient two grid solver algorithm (coupled with the hp-adaptive strategy) that is suitable for a large class of problems in 2D and 3D, including elliptic and electromagnetic boundary value problems, for both real and complex valued operators, with applications to Radar Cross Section (RCS) analysis, modeling of Logging While Drilling EM measuring devices, and design of waveguides.

ISBN: 0496025929Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Integration of HP-adaptivity with a two grid solver: Applications to electromagnetics.
LDR:02725nmm 2200313 4500 001 1852467
005 20060111134543.5
008 130614s2004 eng d
020 $a 0496025929
035 $a (UnM)AAI3144666
035 $a AAI3144666
040 $a UnM $c UnM
100 1 $a Pardo, David. $3 1940319
245 1 0 $a Integration of HP-adaptivity with a two grid solver: Applications to electromagnetics.
300 $a 237 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-08, Section: B, page: 4200.
500 $a Supervisor: Leszek F. Demkowicz.
502 $a Thesis (Ph.D.)--The University of Texas at Austin, 2004.
520 $a In this dissertation, we have studied and implemented an efficient two grid solver algorithm (coupled with the hp-adaptive strategy) that is suitable for a large class of problems in 2D and 3D, including elliptic and electromagnetic boundary value problems, for both real and complex valued operators, with applications to Radar Cross Section (RCS) analysis, modeling of Logging While Drilling EM measuring devices, and design of waveguides.
520 $a We have first implemented the classical V-cycle algorithm for symmetric and positive definite problems by combining an overlapping Block-Jacobi smoother with a relaxation parameter, and a direct solve on the coarse grid. For EM problems, an extra Block-Jacobi smoother designed to control gradients has been implemented, as proposed by Hiptmair. The convergence rate for the resulting two grid solver is independent of the mesh size h (provided that the coarse grid is fine enough), and depends only logarithmically on the order of approximation p.
520 $a A theoretical convergence analysis has been illustrated with extensive numerical experimentation in 2D and 3D. These results show a significant convergence improvement when the relaxation parameter is selected to be optimal. The numerical experiments also prove that, using a two grid solver, it is possible to guide the optimal hp-refinements with only a partially converged fine grid solution.
520 $a Finally, several electromagnetic applications illustrate the efficiency of combining the hp-adaptivity with the two grid solver. Three particular applications have been studied in this dissertation: model problems relevant to Radar Cross Section (RCS) analysis, modeling of Logging While Drilling EM measuring devices, and design of waveguides. (Abstract shortened by UMI.)
590 $a School code: 0227.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Physics, Electricity and Magnetism. $3 1019535
690 $a 0544
690 $a 0607
710 2 0 $a The University of Texas at Austin. $3 718984
773 0 $t Dissertation Abstracts International $g 65-08B.
790 1 0 $a Demkowicz, Leszek F., $e advisor
790 $a 0227
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3144666