A posteriori error analysis for a space‐time parallel discretization of parabolic partial differential equations
DOI10.1002/num.23065arXiv2111.00606OpenAlexW3209580039MaRDI QIDQ6147905
Donald J. Estep, Simon J. Tavener, Jehanzeb Hameed Chaudhry
Publication date: 1 February 2024
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.00606
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
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- Toward an efficient parallel in time method for partial differential equations
- A posteriori analysis of a multirate numerical method for ordinary differential equations
- A parareal in time procedure for the control of partial differential equations
- A posteriori error analysis for finite element methods with projection operators as applied to explicit time integration techniques
- Domain decomposition methods for the numerical solution of partial differential equations
- A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation
- Multigrid methods with space-time concurrency
- A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations
- \textit{A posteriori} error estimation for the spectral deferred correction method
- A posteriori error estimation for the Lax-Wendroff finite difference scheme
- \textit{A posteriori} analysis of an iterative multi-discretization method for reaction-diffusion systems
- 50 Years of Time Parallel Time Integration
- A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm
- A Posteriori Analysis for Iterative Solvers for Nonautonomous Evolution Problems
- Efficient Implementation of a Multi-Level Parallel in Time Algorithm
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- An optimal control approach to a posteriori error estimation in finite element methods
- An Introduction to Domain Decomposition Methods
- Nonlinear Convergence Analysis for the Parareal Algorithm
- Iterative Methods by Space Decomposition and Subspace Correction
- Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
- Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations
- Parallel Time Integration with Multigrid
- An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs
- Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Applications of time parallelization
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