Accession Number:

ADA422164

Title:

Fully Automatic, hp-Adaptive Simulations for Maxwell's Equations

Descriptive Note:

Final rept. Dec 2000-Nov 2003

Corporate Author:

TEXAS UNIV AT AUSTIN DEPT OF MATHEMATICS AND INST OF COMPUTATIONAL ENGINEERING AND SCIENCES

Personal Author(s):

Report Date:

2004-03-18

Pagination or Media Count:

9.0

Abstract:

The report describes a computational and theoretical work toward developing a fully automatic hp-adaptive methodology for solving 3D time-harmonic Maxwell equations. The algorithm produces automatically a sequence of hp meshes that deliver exponential convergence. The optimal hp-refinements are identified by minimizing the projection based interpolation error of the solution obtained on a fine grid obtained by a global hp- refinement of a current coarse grid. The idea of the algorithm is very general and it applies to all discretizations forming the hp de Rham diagram - Hi- Hcurl-and Hdiv-conforming.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE