Accession Number:

ADA555327

Title:

Analysis of an Hp-Non-conforming Discontinuous Galerkin Spectral Element Method for Wave

Descriptive Note:

Corporate Author:

TEXAS UNIV AT AUSTIN INST FOR COMPUTATIONAL ENGINEERING AND SCIENCES

Personal Author(s):

Report Date:

2011-04-01

Pagination or Media Count:

26.0

Abstract:

We analyze the consistency, stability, and convergence of an hp discontinuous Galerkin spectral element method. The analysis is carried out simultaneously for acoustic, elastic coupled elastic-acoustic, and electromagnetic wave propagation. Our analytical results are developed for both conforming and non-conforming approximations on hexahedral meshes using either exact integration with Legendre-Gauss quadrature or inexact integration with Legendre-Gauss-Lobatto quadrature. A mortar-based non-conforming approximation is developed to treat both h and p non-conforming meshes simultaneously. The mortar approach is constructed in such a way that consistency, stability, and convergence analyses for non-conforming approximations follows the conforming counterparts with minimal modifications. In particular, sharp hp-convergence results are proved for non-conforming approximations for time dependent wave propagation problems using inexact quadrature.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE