Banach space projections and Petrov-Galerkin estimates

DOI10.1007/S00211-014-0658-5zbMath1316.65055arXiv1307.4393OpenAlexW3125045721MaRDI QIDQ2340900

Ari Stern

Publication date: 21 April 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4393

zbMATH Keywords

inf-sup conditionlinear operator equationBanach space projectionPetrov-Galerkin estimates

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (5)

Numerical methods for the deterministic second moment equation of parabolic stochastic PDEs ⋮ Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov--Galerkin, and Monotone Mixed Methods ⋮ Using a DPG method to validate DMA experimental calibration of viscoelastic materials ⋮ The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin's method ⋮ The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces

Cites Work

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• The many proofs of an identity on the norm of oblique projections
• Some observations on Babuška and Brezzi theories
• Approximation variationnelle des problèmes aux limites
• Error-bounds for finite element method
• On the von Neumann-Jordan constant for Banach spaces
• Mixed and Hybrid Finite Element Methods

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