Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study
From MaRDI portal
Publication:5372630
DOI10.1137/16M1082330zbMath1395.65066MaRDI QIDQ5372630
No author found.
Publication date: 27 October 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
nonlinearmultigridhigh performance computingparabolic problemspararealreduction-based multigridmultigrid-in-time
Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items
Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization ⋮ An adaptive parareal algorithm ⋮ Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation ⋮ Multilevel space-time block diagonal preconditioners for parabolic problems ⋮ Multigrid reduction in time for non-linear hyperbolic equations ⋮ A non-intrusive parallel-in-time adjoint solver with the xbraid library ⋮ Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection ⋮ Applications of time parallelization ⋮ Parallel-in-time simulation of an electrical machine using MGRIT ⋮ Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators ⋮ Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations ⋮ Multigrid reduction preconditioning framework for coupled processes in porous and fractured media ⋮ Wave propagation characteristics of Parareal ⋮ Multigrid reduction in time with Richardson extrapolation ⋮ A Scalable Multigrid Reduction Framework for Multiphase Poromechanics of Heterogeneous Media ⋮ Multilevel Convergence Analysis of Multigrid-Reduction-in-Time ⋮ A non-intrusive parallel-in-time approach for simultaneous optimization with unsteady PDEs ⋮ Nonsymmetric Reduction-Based Algebraic Multigrid ⋮ Acceleration of the Two-Level MGRIT Algorithm via the Diagonalization Technique ⋮ Layer-Parallel Training of Deep Residual Neural Networks
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Toward an efficient parallel in time method for partial differential equations
- Multi-grid dynamic iteration for parabolic equations
- A time-parallel multigrid-extrapolation method for parabolic partial differential equations
- A parallel shooting technique for solving dissipative ODE's
- Mathematical models for erosion and the optimal transportation of sediment
- Fourier mode analysis of the multigrid waveform relaxation and time- parallel multigrid methods
- Parallelization in time through tensor-product space-time solvers
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- Parallel High-Order Integrators
- Interweaving PFASST and Parallel Multigrid
- On the $p$-Laplacian and $\infty$-Laplacian on Graphs with Applications in Image and Data Processing
- Multigrid Methods for Variational Problems
- Efficient Parallel Algorithms for Solving Initial-Boundary Value and Time-Periodic Parabolic Partial Differential Equations
- The time‐parallel multigrid method
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs
- A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature
- An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations
- A Space-Time Multigrid Method for Parabolic Partial Differential Equations
- A Geometric Space-Time Multigrid Algorithm for the Heat Equation
- Parallel Time Integration with Multigrid
- Parallel methods for integrating ordinary differential equations
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Parallel Methods for the Numerical Integration of Ordinary Differential Equations
- Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems
