Approximation of \(p\)-biharmonic problem using WEB-spline based mesh-free method

DOI10.1515/ijnsns-2018-0298OpenAlexW2963989671MaRDI QIDQ2296076

Naraveni Rajashekar, V. V. K. Srinivas Kumar, Sudhakar Chaudhary

Publication date: 17 February 2020

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0298

zbMATH Keywords

mesh-free methodWEB-splines\(p\)-biharmonic problem

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) Spline approximation (41A15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) PDEs in connection with mathematical programming (35Q90)

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Cites Work

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• Quasi-Newton minimization for the \(p(x)\)-Laplacian problem
• Discontinuous Galerkin methods for the \(p\)-biharmonic equation from a discrete variational perspective
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• On a class of boundary value problems involving the \(p\)-biharmonic operator
• \(hp\)-version interior penalty DGFEMs for the biharmonic equation
• A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation
• On calculating with B-splines
• Weighted Extended B-Spline Approximation of Dirichlet Problems
• Order of convergence of the finite element method for thep(x)-Laplacian
• Finite Element Approximation of the p-Laplacian
• An approach to refining three‐dimensional tetrahedral meshes based on Delaunay transformations
• Finite Element Methods with B-Splines
• On the numerical approximation of p‐biharmonic and ∞‐biharmonic functions
• Minimization techniques for p(x)-Laplacian problem using WEB-Spline based mesh-free method
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier–Stokes equations of motion
• The Numerical Evaluation of B-Splines
• WEB-Spline-based mesh-free finite element approximation forp-Laplacian

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