A new algebraic multigrid algorithm coarsens PDE systems by coarsening a nodal dual problem and constructing orientation-aware averages along paths, yielding near-kernel-preserving interpolation for curl-curl, grad-div, and Stokes systems.
Claus, Multigrid smoothers for saddle point systems , PhD thesis, Universit¨ atsbibliothek Wuppertal, 2019
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Nodal AMG Coarsening and Interpolation for PDE Systems
A new algebraic multigrid algorithm coarsens PDE systems by coarsening a nodal dual problem and constructing orientation-aware averages along paths, yielding near-kernel-preserving interpolation for curl-curl, grad-div, and Stokes systems.