Publication: Bridging the gap between geometric and algebraic multi-grid methods
Bridging the gap between geometric and algebraic multi-grid methods
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Feuchter, D., Heppner, I., Sauter, S. A., & Wittum, G. (2003). Bridging the gap between geometric and algebraic multi-grid methods. Computing and Visualization in Science, 6(1), 1–13. https://doi.org/10.1007/s00791-003-0102-3
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In this paper, a multi-grid solver for the discretisation of partial differential equations on complicated domains is developed. The algorithm requires as input the given discretisation only instead of a hierarchy of discretisations on coarser grids. Such auxiliary grids and discretisations are generated in a black-box fashion and are employed to define purely algebraic intergrid transfer operators. The geometric interpretation of the algorithm allows one to use the framework of geometric multigrid methods to prove its convergence. Th
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- Feuchter, D
- Heppner, I
- Sauter, S A
- Wittum, G
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Feuchter, D., Heppner, I., Sauter, S. A., & Wittum, G. (2003). Bridging the gap between geometric and algebraic multi-grid methods. Computing and Visualization in Science, 6(1), 1–13. https://doi.org/10.1007/s00791-003-0102-3
