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Report 2011-72
A parallel space-time finite difference solver for periodic solutions of the shallow-water equation
P. Arbenz, A. Hiltebrand and D. Obrist
Abstract: We investigate parallel algorithms for the solution of the shallow-water equation in a space-time framework. For periodic solutions, the discretized problem can be written as a large cyclic non-linear system of equations. This system of equations is solved with a Newton iteration which uses two levels of preconditioned GMRES solvers. The parallel performance of this algorithm is illustrated on a number of numerical experiments.
Paper: Available as PDF (1547KB) or as hardcopy to order reports@sam.math.ethz.ch.
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