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Population Dynamics of Sinking Phytoplankton in Stratified Waters. Modelling, Analysis and Simulation (MAS)

机译:分层水域下沉浮游植物的种群动态。建模,分析和模拟(mas)

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In this paper we study a multigrid method for the solution of a linear second order elliptic equation, discretized by discontinuous galerkin (DG) methods, and we give a detailed analysis of the convergence for different block-relaxation strategies. We find that point-wise block-partitioning gives much better results than the classical cell-wise partitioning. Both for the Baumman-Oden and for the symmetric DG method, with and without interior penalty, the block relaxation and methods (Jacobi, Gauss-Seidel and symmetric Gauss-Seidel) give excellent smoothing procedures in a classical multigrd setting. Independent of the mesh size, simple MG cycles give convergence factors 0.075-0.4 per iteration sweep for the different discretisation methods studied.

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