Discrete extension operators for mixed finite element spaces on locally refined meshes

DOI10.1090/mcom/3074zbMath1416.65428arXiv1406.5534OpenAlexW1591169215MaRDI QIDQ5741487

Francisco-Javier Sayas, Johnny Guzmán, Mark Ainsworth

Publication date: 25 July 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5534

zbMATH Keywords

finite elementsStokesdivergence-freeconforming

Mathematics Subject Classification ID

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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (10)

Discrete \(p\)-robust \(\boldsymbol H(\mathrm{div})\)-liftings and a posteriori estimates for elliptic problems with \(H^{-1}\) source terms ⋮ A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem ⋮ Adaptive BEM with inexact PCG solver yields almost optimal computational costs ⋮ Convergence of the Hiptmair--Xu Preconditioner for Maxwell's Equations with Jump Coefficients (i): Extensions of the Regular Decomposition ⋮ A conforming mixed finite element method for the Navier-Stokes/Darcy coupled problem ⋮ Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates ⋮ A vorticity-based fully-mixed formulation for the 3D Brinkman-Darcy problem ⋮ Optimal quasi-diagonal preconditioners for pseudodifferential operators of order minus two ⋮ Adaptive Mixed Finite Element Methods for Non-self-adjoint Indefinite Second-Order Elliptic PDEs with Optimal Rates ⋮ Extension by zero in discrete trace spaces: Inverse estimates

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