The Solution of Radiation Transport Equations with Adaptive Finite Elements

Linda Stals
Department of Computer Science
Old Dominion University
Norfolk, VA 23529-0162, USA
and
ICASE
NASA Langley Res. Ctr
Hampton, VA 23681-2199, USA


Abstract

We compare the performance of an inexact Newton-multigrid method and Full Approximation Scheme when solving radiation transport equations. We also present an adaptive refinement algorithm and explore its impact on the solution of such equations.

Keywords: FAS, Multigrid, NewtonMethod, Radiation Transport

AMS subject classifications: 35K55, 65M55, 65M60, 49M15