Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations
DOI10.1016/S0168-9274(96)00063-3zbMath0879.65083OpenAlexW2045824188MaRDI QIDQ676139
Ronald H. W. Hoppe, Barbara I. Wohlmuth
Publication date: 7 January 1998
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00063-3
finite elementmultigrid methodselliptic boundary value problemsspectral condition numberadaptive grid refinementerror estimatormultilevel preconditionersimplicial triangulationsadditive Schwarz iterationspreconditioned conjugate gradient iteration
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive finite element methods in computational mechanics
- On function spaces related to finite element approximation theory
- On the multi-level splitting of finite element spaces
- Hierarchical a posteriori error estimator. Application to mixed finite elements
- A basic norm equivalence for the theory of multilevel methods
- Multilevel iterative methods for mixed finite element discretizations of elliptic problems
- Multilevel Schwarz methods
- A posteriori error estimation and adaptive mesh-refinement techniques
- Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods
- Multilevel preconditioned augmented Lagrangian techniques for \(2\)nd order mixed problems
- Error indicators for mixed finite elements in 2-dimensional linear elasticity
- Concepts of an adaptive hierarchical finite element code
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Mixed and Hybrid Finite Element Methods
- A Multigrid Algorithm for the Lowest-Order Raviart–Thomas Mixed Triangular Finite Element Method
- Analysis of the Schwarz algorithm for mixed finite elements methods
- Iterative Methods by Space Decomposition and Subspace Correction
- A‐posteriori error estimates for the finite element method
- Error Estimates for Adaptive Finite Element Computations
- A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
- Multilevel Iteration for Mixed Finite Element Systems with Penalty
- Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value Problems
- Analysis of multilevel decomposition iterative methods for mixed finite element methods
- A Posteriori Error Estimators for the Raviart–Thomas Element
This page was built for publication: Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations
