The inf‐sup constant for the divergence on corner domains

DOI10.1002/num.21916zbMath1309.65131arXiv1402.3659OpenAlexW1858886432MaRDI QIDQ5246763

Monique Dauge, Yvon Lafranche, Martin Costabel, Michel Crouzeix

Publication date: 22 April 2015

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3659

zbMATH Keywords

inf-sup constantessential spectrum of the Cosserat operatorLadyzhenskaya-Babuška-Brezzi condition condition

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

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 ⋮ Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA ⋮ Stability for Finite Element Discretization of Some Inverse Parameter Problems from Internal Data: Application to Elastography ⋮ A Posteriori Error Analysis of the inf-sup Constant for the Divergence ⋮ Rayleigh–Ritz approximation of the inf-sup constant for the divergence ⋮ Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model ⋮ Continuity Properties of the Inf-Sup Constant for the Divergence ⋮ Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method ⋮ Krylov improvements of the Uzawa method for Stokes type operator matrices ⋮ Iterated pressure-correction projection methods for the unsteady incompressible Navier-Stokes equations

Cites Work

• On inequalities of Korn, Friedrichs and Babuska-Aziz
• Eigenproblems associated with the discrete LBB condition for incompressible finite elements
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone
• Inequalities of Korn and Friedrichs in elasticity and potential theory
• The discrete Cosserat eigenfunctions for a spherical shell
• Towards discrete Velte decompositions and narrow bounds for inf-sup constants
• An introduction to Navier-Stokes equation and oceanography.
• On the LBB condition in the numerical analysis of the Stokes equations
• On the spectrum of the Schur complement of the Stokes operator via conformal mapping
• Introduction to the Cosserat problem
• Construction of Corner Singularities for Agmon-Douglis-Nirenberg Elliptic Systems
• On the LBB constant on stretched domains
• On the domain geometry dependence of the LBB condition
• Iterative Stokes solvers in the harmonic Velte subspace

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