Mortar spectral element discretization of the Stokes problem in domain with corners

DOI10.1186/s13661-015-0387-4zbMath1416.65471OpenAlexW1894974468WikidataQ59430065 ScholiaQ59430065MaRDI QIDQ284162

Nejmeddine Chorfi

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0387-4

zbMATH Keywords

singularityStokes problemmortar spectral element method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Spectral approximation for elliptic boundary value problems
• Handling geometric singularities by the mortar spectral element method. I: Case of the Laplace equation
• Geometric singularities of the Stokes problem
• Inf-sup conditions for the mortar spectral element discretization of the Stokes problem
• A finite element scheme for domains with corners
• The finite element method with Lagrangian multipliers
• Handling corner singularities by the mortar spectral element method
• Polynomial approximation of some singular functions
• Stability of Finite Elements under Divergence Constraints
• Finite Element Methods for Navier-Stokes Equations
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations