A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations


Journal Article

We present a domain decomposition method on a semilinear hyperbolic system with multiple relaxation times. In the region where the relaxation time is small, an asymptotic equilibrium equation can be used for computational efficiency. An interface condition based on the sign of the characteristic speed at the interface is provided to couple the two systems in a domain decomposition setting. A rigorous analysis, based on the Laplace Transform, on the L2 error estimate is presented for the linear case, which shows how the error of the domain decomposition method depends on the smaller relaxation time, and the boundary and interface layer effects. The given convergence rate is optimal. We present a numerical implementation of this domain decomposition method, and give some numerical results in order to study the performance of this method. © 2012 American Mathematical Society.

Full Text

Duke Authors

Cited Authors

  • Jin, S; Liu, JG; Wang, L

Published Date

  • February 7, 2013

Published In

Volume / Issue

  • 82 / 282

Start / End Page

  • 749 - 779

International Standard Serial Number (ISSN)

  • 0025-5718

Digital Object Identifier (DOI)

  • 10.1090/S0025-5718-2012-02643-3

Citation Source

  • Scopus