A priori error estimates for the finite element approximation of a nonlocal Kirchhoff problem using web-splines

DOI10.1007/s40819-015-0092-0zbMath1398.65293OpenAlexW1913864096MaRDI QIDQ722693

Sudhakar Chaudhary, V. V. K. Srinivas Kumar

Publication date: 27 July 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-015-0092-0

zbMATH Keywords

Kirchhoff equationmeshless methodNewton iteration methodnonlocalweb-spline

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Mesh-free Galerkin approximation for parabolic nonlocal problem using web-splines

Cites Work

• WEB-spline based mesh-free finite element analysis for the approximation of the stationary Navier-Stokes problem
• Remarks on an elliptic equation of Kirchhoff type
• A practical guide to splines
• Multigrid methods with web-splines
• Spline approximation by quasiinterpolants
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Meshfree method for the non-stationary incompressible Navier-Stokes equations
• Weighted Extended B-Spline Approximation of Dirichlet Problems
• WEB-spline based mesh-free finite element analysis for the heat equation and the time-dependent Navier-Stokes equation: A survey
• A New Class of Stabilized WEB-Spline-Based Mesh-Free Finite Elements for the Approximation of Maxwell Equations
• Finite Element Method for a Nonlocal Problem of Kirchhoff Type
• On an elliptic equation of p-Kirchhoff type via variational methods
• Some remarks on non local elliptic and parabolic problems
• Finite Element Methods with B-Splines
• Web‐spline‐based finite element approximation of some quasi‐newtonian flows: Existence‐uniqueness and error bound

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