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- W4292755741 abstract "Uniform convergence of the geometric multigrid V-cycle is proven for hybridized discontinuous Galerkin methods with a new set of assumptions on the injection operators from coarser to finer meshes. The scheme involves standard smoothers and local solvers which are bounded, convergent, and consistent. A weak version of elliptic regularity is used in the proofs. The new assumptions admit injection operators local to each coarse grid cell. Examples for admissible injection operators are given. The analysis applies to the hybridized local discontinuous Galerkin method, hybridized Raviart--Thomas, and hybridized Brezzi--Douglas--Marini mixed element methods. Numerical experiments are provided to confirm the theoretical results." @default.
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- W4292755741 date "2022-08-01" @default.
- W4292755741 modified "2023-09-25" @default.
- W4292755741 title "Analysis of Injection Operators in Geometric Multigrid Solvers for HDG Methods" @default.
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- W4292755741 doi "https://doi.org/10.1137/21m1400110" @default.
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