UNIFORM VALIDITY OF DISCRETE FRIEDRICHS' INEQUALITY FOR GENERAL NONCONFORMING FINITE ELEMENT SPACES

DOI10.1081/NFA-100103790zbMath0988.65105OpenAlexW2123942743MaRDI QIDQ2748924

Knobloch, Petr

Publication date: 26 June 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-100103790

zbMATH Keywords

Sobolev spacesPoincaré inequalitynonconforming finite elementFriedrichs inequalitya priori inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (3)

A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates ⋮ On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H ¹ ⋮ $L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation

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• A Local Regularization Operator for Triangular and Quadrilateral Finite Elements
• On the Discrete Friedrichs Inequality for Nonconforming Finite Elements
• Analysis of a mathematical model related to Czochralski crystal growth

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