Parallel Implicit Solution of Diffusion-limited Radiation Transport

William D. Gropp, Dinesh K. Kaushik, David E. Keyes, Barry F. Smith

Research output: Chapter in Book/Report/Conference proceedingChapter


We present simulations of diffusion-limited transport in an initi ally cold medium of two different materials subjected to an impulsive radiative load, using a Newton-Krylov-Schwarz solver. The spatial discretization employs Galerkin finite elements with linear piecewise continuous basis functions over simplices in 2D and 3D. Temporal integration is via a solution-adaptive implicit Euler method. The code shows excellent domain-decomposed scalability on the Teragrid, BlueGene, and System X platforms. Comparing implementations for this application with. opintensive residual evaluation, we observe that an analytical Jacobian gives better performance (in terms of the overall execution time to solution) than a Jacobianfree approach.

Original languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
Number of pages8
ISBN (Print)9783540344681
StatePublished - 2007
Externally publishedYes

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Engineering
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics


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