Estimates of the distance to the set of divergence free fields

DOI10.1007/s10958-015-2593-0zbMath1331.35063OpenAlexW1921790834MaRDI QIDQ906546

Sergey I. Repin

Publication date: 22 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2593-0

zbMATH Keywords

inf-sup conditionviscous incompressible fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Linear first-order PDEs (35F05)

Related Items (4)

A posteriori estimates for the stationary Stokes problem in exterior domains ⋮ Inf–sup conditions on convex cones and applications to limit load analysis ⋮ A Posteriori Error Analysis of the inf-sup Constant for the Divergence ⋮ Computable majorants of the limit load in Hencky's plasticity problems

Cites Work

• On a posteriori error estimates for the stationary Navier-Stokes problem
• Estimates of deviations from the exact solution of a generalized Oseen problem
• A posteriori estimates for partial differential equations
• Two-sided a posteriori estimates for a generalized Stokes problem
• Eigenproblems associated with the discrete LBB condition for incompressible finite elements
• On the best constant in the inf-sup condition for enlongated rectangular domains
• Towards discrete Velte decompositions and narrow bounds for inf-sup constants
• On the LBB condition in the numerical analysis of the Stokes equations
• The finite element method with Lagrangian multipliers
• A PROOF OF THE INF–SUP CONDITION FOR THE STOKES EQUATIONS ON LIPSCHITZ DOMAINS
• Estimates of deviations from exact solutions for boundary-value problems with incompressibility condition
• On the LBB constant on stretched domains
• A bound for the optimal constant in an inequality of Ladyzhenskaya and Solonnikov
• A posteriori estimates for the Stokes problem
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