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• W2952437953 abstract "We present and analyze a new space-time parallel multigrid method for parabolic equations. The method is based on arbitrarily high order discontinuous Galerkin discretizations in time, and a finite element discretization in space. The key ingredient of the new algorithm is a block Jacobi smoother. We present a detailed convergence analysis when the algorithm is applied to the heat equation, and determine asymptotically optimal smoothing parameters, a precise criterion for semi-coarsening in time or full coarsening, and give an asymptotic two grid contraction factor estimate. We then explain how to implement the new multigrid algorithm in parallel, and show with numerical experiments its excellent strong and weak scalability properties." @default.
• W2952437953 created "2019-06-27" @default.
• W2952437953 creator A5007156706 @default.
• W2952437953 creator A5089456729 @default.
• W2952437953 date "2014-11-03" @default.
• W2952437953 modified "2023-09-27" @default.
• W2952437953 title "Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems" @default.
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• W2952437953 hasPublicationYear "2014" @default.
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