Abstract
A parallel version of a finite difference discretization of PDEs on sparse grids is proposed. Sparse grids or hyperbolic crosspoints can be used for the efficient representation of solutions of a boundary value problem, especially in high dimensions, because the number of grid points depends only weakly on the dimension. So far only the ‘combination’ technique for regular sparse grids was available on parallel computers. However, the new approach allows for arbitrary, adaptively refined sparse grids. The efficient parallelisation is based on a dynamic load-balancing approach with space-filling curves.
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Zumbusch, G. (2000). Parallel Adaptively Refined Sparse Grids. In: Dick, E., Riemslagh, K., Vierendeels, J. (eds) Multigrid Methods VI. Lecture Notes in Computational Science and Engineering, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58312-4_39
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DOI: https://doi.org/10.1007/978-3-642-58312-4_39
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