WEB-spline based mesh-free finite element analysis for the approximation of the stationary Navier-Stokes problem

DOI10.1016/j.na.2007.03.021zbMath1143.76036OpenAlexW2063243002MaRDI QIDQ943739

B. E. Eshmatov

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.03.021

zbMATH Keywords

error estimateinf-sup conditionfixed point theorem

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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A New Class of Stabilized WEB-Spline-Based Mesh-Free Finite Elements for the Approximation of Maxwell Equations ⋮ WEB-spline finite elements for the approximation of Navier-Lamé system with \(C_{A, B}\) boundary condition ⋮ Stabilized discretization in spline element method for solution of two-dimensional Navier-Stokes problems ⋮ Web‐spline‐based finite element approximation of some quasi‐newtonian flows: Existence‐uniqueness and error bound ⋮ A priori error estimates for the finite element approximation of a nonlocal Kirchhoff problem using web-splines ⋮ WEB-spline based mesh-free finite element analysis for the heat equation and the time-dependent Navier-Stokes equation: A survey

Cites Work

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• Multigrid methods with web-splines
• Weighted extended B-spline method for the approximation of the stationary Stokes problem
• Weighted Extended B-Spline Approximation of Dirichlet Problems
• Mixed and Hybrid Finite Element Methods
• A new class of stabilized mesh‐free finite elements for the approximation of the Stokes problem
• WEB-Spline–Based Multigrid Methods for the Stationary Stokes Problem

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