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Lukas Spies
Structured-grid Multigrid for Taylor-Hood finite elements

Department of Mathematics and Statistics
Memorial University of Newfoundland
St John's NL
A1C 5S7
Canada
Lukas.Spies@mun.ca
Scott MacLachlan
Thomas Benson
Luke Olson

Recent years have seen renewed interest in the numerical solution of the Stokes Equations. While many preconditioning approaches ignore the underlying mesh geometry, our approach is to develop a structured-grid implementation, taking advantage of the highly structured data-access patterns and employing stencil-based calculations. This opens up many opportunities for fine-grained parallelism, allowing us to take advantage of multicore and accelerated architectures. In this talk, we discuss progress to date in (parallel) implementation and optimisation of a structured-grid monolithic Multigrid approach for Q2-Q1 finite-element discretisations on structured meshes.





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