A Parallel Space-Time Finite Difference Solver for Periodic Solutions of the Shallow-Water Equation
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.
KeywordsPeriodic Solution Parallel Performance Shallow Water Equation Newton Iteration Newton Step
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