Multilevel discretization of symmetric saddle point systems without the discrete LBB condition
From MaRDI portal
Publication:415189
DOI10.1016/j.apnum.2011.07.010zbMath1237.65121OpenAlexW2135502192MaRDI QIDQ415189
Constantin Bacuta, Peter B. Monk
Publication date: 11 May 2012
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2011.07.010
Related Items (12)
Cascadic multilevel algorithms for symmetric saddle point systems ⋮ An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem ⋮ Saddle point least squares iterative solvers for the time harmonic Maxwell equations ⋮ Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem ⋮ Multilevel gradient Uzawa algorithms for symmetric saddle point problems ⋮ Saddle point least squares preconditioning of mixed methods ⋮ Least squares preconditioning for mixed methods with nonconforming trial spaces ⋮ A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented linear systems ⋮ Sharp stability and approximation estimates for symmetric saddle point systems ⋮ Notes on a saddle point reformulation of mixed variational problems ⋮ A non-conforming saddle point least squares approach for an elliptic interface problem ⋮ Saddle point least squares for the reaction-diffusion problem
Cites Work
- Optimal relaxation parameter for the Uzawa method
- Schur complements on Hilbert spaces and saddle point systems
- An analysis of a mixed finite element method for the Navier-Stokes equations
- A cascadic multigrid algorithm for the Stokes equations
- The cascadic multigrid method for elliptic problems
- Some observations on Babuška and Brezzi theories
- Error-bounds for finite element method
- Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps
- Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates
- Numerical solution of saddle point problems
- An Optimal Adaptive Finite Element Method for the Stokes Problem
- Mixed and Hybrid Finite Element Methods
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
- Data Oscillation and Convergence of Adaptive FEM
- An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition
- Adaptive Wavelet Methods for Saddle Point Problems---Optimal Convergence Rates
- Finite Element Methods for Maxwell's Equations
- A new approximation technique for div-curl systems
- Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra II: Mesh Refinements and Interpolation
- A Unified Approach for Uzawa Algorithms
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Multilevel discretization of symmetric saddle point systems without the discrete LBB condition