On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems
From MaRDI portal
Publication:1684411
DOI10.1007/s00791-014-0221-zzbMath1380.65377OpenAlexW1984783803MaRDI QIDQ1684411
Monika Wolfmayr, Johannes Kraus
Publication date: 8 December 2017
Published in: Computing and Visualization in Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00791-014-0221-z
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (6)
Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients ⋮ Robust finite element discretization and solvers for distributed elliptic optimal control problems ⋮ Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems ⋮ Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems ⋮ Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals ⋮ Robust discretization and solvers for elliptic optimal control problems with energy regularization
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust semi-coarsening multilevel preconditioning of biquadratic FEM systems
- A robust finite element solver for a multiharmonic parabolic optimal control problem
- How to use cylindrical algebraic decomposition
- On algebraic multilevel methods for non-symmetric systems - convergence results
- Two simple derivations of universal bounds for the CBS inequality constant.
- Algebraic multilevel preconditioning methods. I
- Partial cylindrical algebraic decomposition for quantifier elimination
- CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems
- A preconditioned MinRes solver for time-periodic parabolic optimal control problems
- Algebraic Multilevel Preconditioning Methods, II
- Recursive Krylov‐based multigrid cycles
- Solution of Sparse Indefinite Systems of Linear Equations
- On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems
- Iterative Solution Methods
- Variable‐step multilevel preconditioning methods, I: Self‐adjoint and positive definite elliptic problems
- Additive Schur Complement Approximation and Application to Multilevel Preconditioning
- Robust Algebraic Multilevel Methods and Algorithms
- An algebraic preconditioning method for M‐matrices: linear versus non‐linear multilevel iteration
- Robust multilevel methods for quadratic finite element anisotropic elliptic problems
- Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem
This page was built for publication: On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems