Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions

DOI10.1016/j.cam.2010.03.010zbMath1194.65133OpenAlexW1983191453MaRDI QIDQ977426

Abdeljalil Fili, Yong Duan, Ahmed Mohammed Naji

Publication date: 22 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.03.010

zbMATH Keywords

Galerkin methodnumerical resultsradial basis functionscondition numbersmeshless methodthree-field domain decomposition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (22)

An improved spectral meshless radial point interpolation for a class of time-dependent fractional integral equations: 2D fractional evolution equation ⋮ More accurate results for nonlinear generalized Benjamin-Bona-Mahony-Burgers (GBBMB) problem through spectral meshless radial point interpolation (SMRPI) ⋮ An efficient numerical technique for solution of two-dimensional cubic nonlinear Schrödinger equation with error analysis ⋮ The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation ⋮ Numerical simulation based on meshless technique to study the biological population model ⋮ Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions ⋮ Pseudospectral meshless radial point interpolation for generalized biharmonic equation in the presence of Cahn-Hilliard conditions ⋮ A new spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis ⋮ Completion of right-hand side in the frame of inverse Cauchy problem of elliptic type equation through homogenization meshless collocation method ⋮ On the analysis of a kind of nonlinear Sobolev equation through locally applied pseudo‐spectral meshfree radial point interpolation ⋮ Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation ⋮ Variationally consistent coupling of non-matching discretizations for large deformation problems ⋮ On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations ⋮ Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions ⋮ The LMAPS Using Polynomial Basis Functions for Near-Singular Problems ⋮ Implicit surface reconstruction with radial basis functions via PDEs ⋮ A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms ⋮ Spectral meshless radial point interpolation (SMRPI) method to two-dimensional fractional telegraph equation ⋮ A local mesh-less collocation method for solving a class of time-dependent fractional integral equations: 2D fractional evolution equation ⋮ An efficient patch-to-patch method for coupling independent finite element subdomains with intersecting interfaces ⋮ A three-field dual mortar method for elastic problems with nonconforming mesh ⋮ Pseudospectral Meshless Radial Point Hermit Interpolation Versus Pseudospectral Meshless Radial Point Interpolation

Cites Work

• Unnamed Item
• Radial basis collocation methods for elliptic boundary value problems
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Solving differential equations with radial basis functions: Multilevel methods and smoothing
• A meshless Galerkin method for Dirichlet problems using radial basis functions
• Mixed and Hybrid Finite Element Methods
• Meshless Galerkin methods using radial basis functions
• Element‐free Galerkin methods
• Exponential convergence andH-c multiquadric collocation method for partial differential equations
• Survey of meshless and generalized finite element methods: A unified approach
• New concepts in meshless methods
• Wavelet stabilization and preconditioning for domain decomposition
• Domain decomposition for radial basis meshless methods
• Convergence of Unsymmetric Kernel‐Based Meshless Collocation Methods
• Scattered Data Approximation

This page was built for publication: Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions