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Memory Efficient Adaptive Mesh Generation and Implementation of Multigrid Algorithms Using Sierpinski Curves

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Bader, M. , Schraufstetter, S. and Behrens, J. (2006): Memory Efficient Adaptive Mesh Generation and Implementation of Multigrid Algorithms Using Sierpinski Curves , In M. Becker and H. Szczerbicka (ed.), Simulationstechnique -- 19th Symposium in Hannover 2006 of Frontiers in Simulation, SCS Publishing House, Erlangen264. .
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Abstract:

We will present both underlying ideas and concepts, and first results and experiencesgained within an ongoing project to implement a highly memory efficient version of thegrid generator amatos [BRH+05]. Our focus will be on algorithmic and implemen-tational approaches to realize multigrid algorithms on recursively structured adaptivetriangular grids. The key concept is to use a cell-oriented processing of the grids andspace-filling-curve techniques to get rid of the need to store neighbourship relations onadaptive grids.

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16011
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