Uniform solvability of finite element solutions in approximate domains

DOI10.1007/BF03168591zbMath0985.65142MaRDI QIDQ5944172

Masahisa Tabata

Publication date: 27 September 2001

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite elementapproximate domainextension operatoruniform solvability

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition ⋮ The fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition ⋮ The fictitious domain method with \(H^1\)-penalty for the Stokes problem with Dirichlet boundary condition ⋮ The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary ⋮ On the convergence of finite element solutions to the interface problem for the Stokes system ⋮ Analysis of the fictitious domain method with penalty for elliptic problems ⋮ Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

Cites Work

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• A stable finite element for the Stokes equations
• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• A stabilized finite element method for the Rayleigh-Bénard equations with infinite Prandtl number in a spherical shell
• Error estimates for a mixed finite element approximation of the Stokes equations
• Mixed and Hybrid Finite Element Methods

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