@inbook{63a3099030ae4b8a92738f1b1dc5434d,
title = "Parallel Implicit Solution of Diffusion-limited Radiation Transport",
abstract = "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.",
author = "Gropp, {William D.} and Kaushik, {Dinesh Kumar} and Keyes, {David E.} and Smith, {Barry F.}",
year = "2007",
doi = "10.1007/978-3-540-34469-8_72",
language = "English (US)",
isbn = "9783540344681",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "579--586",
booktitle = "Domain Decomposition Methods in Science and Engineering XVI",
address = "Germany",
}