Abstract
AbstractWe propose a robust multigrid solver for the isotropic transport equation in three space dimensions. Discrete‐ordinates and Galerkin method are used for angle and space discretizations, respectively. The fully discrete problem is formulated as a compact linear system of algebraic equations with a dense iterate matrix. Using a hierarchy of nested meshes our multigrid algorithm employes the Atkinson‐Brakhage approximate inverse as a smoother while a Krylov subspace method is used to solve the coarse problem. Numerical results and comparisons are shown for a transport problem with thermal source. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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