The finite point method for the \(p\)-Laplace equation

DOI10.1007/s00466-011-0613-6zbMath1239.65072OpenAlexW2463491992MaRDI QIDQ411294

Mehdi Tatari, Mehdi Dehghan, Maryam Kamranian

Publication date: 4 April 2012

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-011-0613-6

zbMATH Keywords

collocation methodnumerical examples\(p\)-Laplace equationmeshfree methodmoving least squares approximation\(p\)-harmonic equationfinite point method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (12)

An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions ⋮ An adaptive meshless local Petrov-Galerkin method based on a posteriori error estimation for the boundary layer problems ⋮ The Hermit-Type Reproducing Kernel Particle Method for Elasticity Problems ⋮ Radial basis reproducing kernel particle method for piezoelectric materials ⋮ The interpolating element-free Galerkin method for the \(p\)-Laplace double obstacle mixed complementarity problem ⋮ A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation ⋮ A moving least square reproducing polynomial meshless method ⋮ Analyzing the nonlinear \(p\)-Laplacian problem with the improved element-free Galerkin method ⋮ An image denoising approach based on a meshfree method and the domain decomposition technique ⋮ The element-free Galerkin method for the nonlinear \(p\)-Laplacian equation ⋮ The numerical analysis of piezoelectric ceramics based on the Hermite-type RPIM ⋮ The meshless finite point method for transient elastodynamic problems

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