Estimates of the distance to the set of solenoidal vector fields and applications to a posteriori error control

DOI10.1515/cmam-2015-0024zbMath1327.65221OpenAlexW2254614157WikidataQ110234281 ScholiaQ110234281MaRDI QIDQ500845

Sergey I. Repin

Publication date: 5 October 2015

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

Full work available at URL: https://doi.org/10.1515/cmam-2015-0024

zbMATH Keywords

domain decompositionincompressible viscous fluidsinf-sup conditiona posteriori error estimates

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (8)

On variational representations of the constant in the inf-sup condition for the Stokes problem ⋮ 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 ⋮ Inf–sup conditions on convex cones and applications to limit load analysis ⋮ A Posteriori Error Analysis of the inf-sup Constant for the Divergence ⋮ Estimates of the distance to exact solutions of the Stokes problem with slip and leak boundary conditions ⋮ Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method ⋮ Computable majorants of the limit load in Hencky's plasticity problems

Cites Work

• Minimization of functional majorant in a posteriori error analysis based on \(H\)(div) multigrid-preconditioned CG method
• A posteriori error estimates for the generalized Stokes problem
• Eigenproblems associated with the discrete LBB condition for incompressible finite elements
• Three-dimensional solenoidal vectors
• Towards discrete Velte decompositions and narrow bounds for inf-sup constants
• A PROOF OF THE INF–SUP CONDITION FOR THE STOKES EQUATIONS ON LIPSCHITZ DOMAINS
• A posteriori error estimates of functional type for variational problems related to generalized Newtonian fluids
• Estimates of the deviations from the exact solutions for variational inequalities describing the stationary flow of certain viscous incompressible fluids
• Mixed and Hybrid Finite Element Methods
• 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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