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- W3206465391 abstract "Abstract We propose a p -multilevel preconditioner for hybrid high-order (HHO) discretizations of the Stokes equation, numerically assess its performance on two variants of the method, and compare with a classical discontinuous Galerkin scheme. An efficient implementation is proposed where coarse level operators are inherited using $$L^2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> -orthogonal projections defined over mesh faces and the restriction of the fine grid operators is performed recursively and matrix-free. Both h - and k -dependency are investigated tackling two- and three-dimensional problems on standard meshes and graded meshes. For the two HHO formulations, featuring discontinuous or hybrid pressure, we study how the combination of p -coarsening and static condensation influences the V-cycle iteration. In particular, two different static condensation procedures are considered for the discontinuous pressure HHO variant, resulting in global linear systems with a different number of unknowns and matrix non-zero entries. Interestingly, we show that the efficiency of the solution strategy might be impacted by static condensation options in the case of graded meshes." @default.
- W3206465391 created "2021-10-25" @default.
- W3206465391 creator A5037714004 @default.
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- W3206465391 date "2021-10-19" @default.
- W3206465391 modified "2023-10-03" @default.
- W3206465391 title "p-Multilevel Preconditioners for HHO Discretizations of the Stokes Equations with Static Condensation" @default.
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- W3206465391 doi "https://doi.org/10.1007/s42967-021-00142-5" @default.
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