Convergence of the multigrid reduction in time algorithm for the linear elasticity equations

DOI10.1002/nla.2155OpenAlexW2790006186MaRDI QIDQ4684531

David Nordsletten, Jacob B. Schroder, Andreas Hessenthaler, Oliver Röhrle, Robert Falgout

Publication date: 1 October 2018

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://kclpure.kcl.ac.uk/portal/en/publications/convergence-of-the-multigrid-reduction-in-time-algorithm-for-the-linear-elasticity-equations(ece450e7-eaf0-46f9-8d32-478c52c021e0).html

zbMATH Keywords

linear elasticityparallel-in-timeconvergence estimatemultigrid reduction in time (MGRIT)

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (12)

Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection ⋮ Applications of time parallelization ⋮ A space-time parallel algorithm with adaptive mesh refinement for computational fluid dynamics ⋮ Parallel-in-time simulation of an electrical machine using MGRIT ⋮ Toward error estimates for general space-time discretizations of the advection equation ⋮ Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators ⋮ Multilevel Convergence Analysis of Multigrid-Reduction-in-Time ⋮ A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms ⋮ Necessary Conditions and Tight Two-level Convergence Bounds for Parareal and Multigrid Reduction in Time ⋮ Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time ⋮ A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs ⋮ Acceleration of the Two-Level MGRIT Algorithm via the Diagonalization Technique

Uses Software

• CHeart
• XBraid
• MGRIT

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