An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem
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Publication:2234877
DOI10.1016/j.camwa.2021.07.008OpenAlexW3195511104MaRDI QIDQ2234877
Pietro Benedusi, Michael L. Minion, Rolf H. Krause
Publication date: 19 October 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.12883
reaction-diffusion equationparallel-in-timestrong and weak scalabilityDG discretizationPFASSTspace-time multigrid
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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- Toward an efficient parallel in time method for partial differential equations
- Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems
- A multi-level spectral deferred correction method
- Galerkin finite element methods for parabolic problems
- Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains
- Faster SDC convergence on non-equidistant grids by DIRK sweeps
- A posteriori error estimation for \(hp\)-version time-stepping methods for parabolic partial differential equations
- Mathematical physiology
- High-order multi-implicit spectral deferred correction methods for problems of reactive flow.
- Semi-implicit projection methods for incompressible flow based on spectral deferred corrections.
- Spectral deferred correction methods for ordinary differential equations
- Multigrid methods with space-time concurrency
- Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods
- Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems
- Implementation and adaptivity of a space-time finite element method for structural dynamics
- Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation
- Multigrid method based on a space-time approach with standard coarsening for parabolic problems
- Accelerating the convergence of spectral deferred correction methods
- Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- 50 Years of Time Parallel Time Integration
- Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation
- A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D
- A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- A-stable discontinuous Galerkin–Petrov time discretization of higher order
- Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
- Time discretization of parabolic problems by the discontinuous Galerkin method
- Galerkin-Type Approximations which are Discontinuous in Time for Parabolic Equations in a Variable Domain
- Discontinuous Galerkin Methods for Ordinary Differential Equations
- A Multigrid Tutorial, Second Edition
- A multigrid perspective on the parallel full approximation scheme in space and time
- Robust and efficient preconditioners for the discontinuous Galerkin time-stepping method
- Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol
- A Space-Time Multigrid Method for Parabolic Partial Differential Equations
- Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
- Parallel Time Integration with Multigrid
- An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs
- Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
- Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
- Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments
- A unified discontinuous Galerkin framework for time integration
- Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems
- Analysis of tensor product multigrid
- Multigrid interpretations of the parareal algorithm leading to an overlapping variant and MGRIT
- PFASST-ER: combining the parallel full approximation scheme in space and time with parallelization across the method
