Accession Number:

ADA586691

Title:

Towards High Resolution Numerical Algorithms for Wave Dominated Physical Phenomena

Descriptive Note:

Final rept. 1 Jul 2005-30 Nov 2008

Corporate Author:

RICE UNIV HOUSTON TX DEPT OF COMPUTATIONAL AND APPLIED MATHEMATICS

Personal Author(s):

Report Date:

2009-01-30

Pagination or Media Count:

56.0

Abstract:

During this project several new numerical algorithms were designed, analyzed, and implemented with the goal of accelerating computational experiments in time-domain electromagnetics and acoustics. Novel results include a new family of radiation boundary conditions used for truncating computational domains used in external scattering simulations. A new filter and also local time stepping method were created for stabilizing coarse temporal approximations for discontinuous Galerkin time-domain computations. In additional work a new tiling algorithm was developed allowing large numbers of polyomino tiles to be arranged to cover a two dimensional shape without leaving gaps. This abstract algorithm has application in the design of passive array antenna to minimize side-lobe radiation.

Subject Categories:

  • Numerical Mathematics
  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE