On the Discrete Friedrichs Inequality for Nonconforming Finite Elements

DOI10.1080/01630569908816904zbMath0938.65130OpenAlexW2085828843MaRDI QIDQ4265775

Miloslav Feistauer, Jiří Felcman, Vít Dolejší

Publication date: 25 June 2000

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

Full work available at URL: https://doi.org/10.1080/01630569908816904

zbMATH Keywords

convection-diffusion problemsNavier-Stokes equationPoisson equationnonconvex domainFriedrichs inequalityCrouzeix-Raviart nonconforming finite elements

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

Stability of a combined finite element - finite volume discretization of convection-diffusion equations ⋮ Convergence of adaptive nonconforming finite element method for Stokes optimal control problems ⋮ A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates ⋮ Analysis of a combined barycentric finite volume---nonconforming finite element method for~nonlinear convection-diffusion problems ⋮ Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients ⋮ UNIFORM VALIDITY OF DISCRETE FRIEDRICHS' INEQUALITY FOR GENERAL NONCONFORMING FINITE ELEMENT SPACES ⋮ Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. ⋮ Error estimates for a finite element-finite volume discretization of convection-diffusion equations ⋮ On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H ¹ ⋮ Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jump coefficients ⋮ $L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation

Cites Work

• On the finite element approximation of a cascade flow problem
• On the finite element approximation of functions with noninteger derivatives
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
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