Multilevel discretization of symmetric saddle point systems without the discrete LBB condition

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

zbMATH Keywords

adaptive methodsmultilevel methodsinexact Uzawa algorithmssaddle point system

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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

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