A posteriori and constructive a priori error bounds for finite element solutions of the Stokes equations

DOI10.1016/S0377-0427(98)00035-1zbMath0930.65122MaRDI QIDQ1298533

Yoshitaka Watanabe, Nobito Yamamoto, Mitsuhiro T. Nakao

Publication date: 9 February 2000

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

zbMATH Keywords

numerical examplesfinite elementerror boundsStokes equations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items (7)

Numerical verification of stationary solutions for Navier-Stokes problems ⋮ Numerical verification for solutions to partial differential equations ⋮ Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements ⋮ NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS ⋮ Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations ⋮ Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains ⋮ A Theorem for Numerical Verification on Local Uniqueness of Solutions to Fixed-Point Equations

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