New convergence estimates for multilevel algorithms for finite-element approximations
From MaRDI portal
Publication:1334801
DOI10.1016/0377-0427(94)90330-1zbMath0808.65129OpenAlexW2010741636MaRDI QIDQ1334801
Publication date: 22 September 1994
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(94)90330-1
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Multilevel preconditioners for reaction-diffusion problems with discontinuous coefficients, Uniform Convergence of Multigrid V-Cycle on Adaptively Refined Finite Element Meshes for Elliptic Problems with Discontinuous Coefficients, UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS, Experiments in 3D with a three-point hierarchical basis preconditioner, Quadratic stable wavelet bases on general meshes, On the robustness of the BPX-preconditioner with respect to jumps in the coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the multi-level splitting of finite element spaces
- The hierarchical basis multigrid method
- A relaxation procedure for domain decomposition methods using finite elements
- Multilevel Schwarz methods
- Convergence Analysis of the Schwarz Algorithm and Multilevel Decomposition Iterative Methods II: Nonselfadjoint and Indefinite Elliptic Problems
- Multigrid Methods: Convergence Theory in a Variational Framework
- Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
- Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration
- Local Mesh Refinement Multilevel Techniques
- An Optimal Order Process for Solving Finite Element Equations
- Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
- Analysis of the Schwarz algorithm for mixed finite elements methods
- Convergence Analysis without Regularity Assumptions for Multigrid Algorithms Based on SOR Smoothing
- An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
- Analysis of multilevel decomposition iterative methods for mixed finite element methods