A converse to Fortin's lemma in Banach spaces

DOI10.1016/j.crma.2016.09.013zbMath1387.47004arXiv1602.04497OpenAlexW2964064769WikidataQ124986823 ScholiaQ124986823MaRDI QIDQ338063

Alexandre Ern, Jean-Luc Guermond

Publication date: 3 November 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04497

zbMATH Keywords

stabilitydiscrete inf-sup conditionsesquilinear formFortin's lemmaright-inverse

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Duality and reflexivity in normed linear and Banach spaces (46B10) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (6)

Projection in negative norms and the regularization of rough linear functionals ⋮ Error representation of the time-marching DPG scheme ⋮ The DPG method for the convection-reaction problem, revisited ⋮ Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov--Galerkin, and Monotone Mixed Methods ⋮ Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media ⋮ The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Theory and practice of finite elements.
• An analysis of the convergence of mixed finite element methods
• Mixed Finite Element Methods and Applications
• A Posteriori Error Control for DPG Methods

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