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.
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Arbenz, P., Hiltebrand, A., Obrist, D. (2012). A Parallel Space-Time Finite Difference Solver for Periodic Solutions of the Shallow-Water Equation. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2011. Lecture Notes in Computer Science, vol 7204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31500-8_31
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DOI: https://doi.org/10.1007/978-3-642-31500-8_31
Publisher Name: Springer, Berlin, Heidelberg
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