Estimates of deviations from exact solutions for boundary-value problems with incompressibility condition

DOI10.1090/S1061-0022-05-00882-4zbMath1174.35461MaRDI QIDQ3376460

Sergey I. Repin

Publication date: 23 March 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

boundary-value problemsincompressibility condition

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Navier-Stokes equations (35Q30) Theoretical approximation in context of PDEs (35A35)

Related Items (10)

Error identities for the reaction-convection-diffusion problem and applications to a posteriori error control ⋮ On variational representations of the constant in the inf-sup condition for the Stokes problem ⋮ Estimates of the distance to the solution of an evolutionary problem obtained by linearization of the Navier-Stokes equation ⋮ On projectors to subspaces of vector-valued functions subject to conditions of the divergence-free type ⋮ A posteriori estimates for the stationary Stokes problem in exterior domains ⋮ Estimates of the distance to the set of divergence free fields ⋮ A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions ⋮ Localized forms of the LBB condition and a posteriori estimates for incompressible media problems ⋮ Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method ⋮ A posteriori estimates for the accuracy of approximations in variational problems with power functionals

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