Robust PRESB preconditioning of a 3-dimensional space-time finite element method for parabolic problems
DOI10.1515/cmam-2023-0085zbMath1541.65096MaRDI QIDQ6557146
Marco Zank, Ladislav Foltyn, Dalibor Lukáš
Publication date: 18 June 2024
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
finite element methodsmultigridparabolic problemsfast diagonalization methodparallel space-time methodsPRESB preconditioning
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scalable algorithms for contact problems
- A comparison of iterative methods to solve complex valued linear algebraic systems
- Finite and boundary element tearing and interconnecting solvers for multiscale problems
- Space-time finite element methods for parabolic problems
- Domain decomposition methods coupled with parareal for the transient heat equation in 1 and 2 spatial dimensions.
- Mixed finite elements in \(\mathbb{R}^3\)
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- Multigrid in H(div) and H(curl)
- An efficient solver for space-time isogeometric Galerkin methods for parabolic problems
- Direct solution of partial difference equations by tensor product methods
- Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems
- Résolution d'EDP par un schéma en temps «pararéel »
- 50 Years of Time Parallel Time Integration
- Nonstandard Norms and Robust Estimates for Saddle Point Problems
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces
- Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- Algorithm 836
- Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems
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