Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains
type: Item
instance of: scholarly article
title: Multinode Shepard method for two-dimensional elliptic boundary problems on different shaped domains
author: F. Dell'Accio
author: F. Di Tommaso
author: Elisa Francomano
published in: Journal of Computational and Applied Mathematics
publication date: 2024-07-08T00:00:00Z
Mathematics Subject Classification ID: 65Nxx
Mathematics Subject Classification ID: 65Dxx
Mathematics Subject Classification ID: 41Axx
zbMATH DE Number: 7878264
zbMATH Keywords: approximation by rational functions
zbMATH Keywords: multinode Shepard method
zbMATH Keywords: collocation method
zbMATH Keywords: elliptic PDEs
MaRDI profile type: Publication
cites work: Numerical Analysis of Partial Differential Equations Using Maple and MATLAB
cites work: A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet-Neumann boundary conditions
cites work: Scattered Data Approximation
cites work: Radial Basis Functions
cites work: Q3446085
cites work: Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
cites work: Highlighting numerical insights of an efficient SPH method
cites work: Solving PDEs with radial basis functions
cites work: Improved Kansa RBF method for the solution of nonlinear boundary value problems
cites work: A polynomial-augmented RBF collocation method using fictitious centres for solving the Cahn-Hilliard equation
cites work: A numerical study of some radial basis function based solution methods for elliptic PDEs
cites work: Kansa-RBF algorithms for elliptic problems in regular polygonal domains
cites work: Weighted least-squares collocation methods for elliptic PDEs with mixed boundary conditions
cites work: Kansa-RBF algorithms for elliptic problems in axisymmetric domains
cites work: A Novel Semi-Analytic Meshless Method for Solving TwoandThree-Dimensional Elliptic Equations of GeneralForm with Variable Coefficients in Irregular Domains
cites work: On the ill-conditioned nature of \(C^\infty\) RBF strong collocation
cites work: Solving Poisson equation with Dirichlet conditions through multinode Shepard operators
cites work: On the numerical computation of bivariate Lagrange polynomials
cites work: Random sampling and unisolvent interpolation by almost everywhere analytic functions
cites work: Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
cites work: Rate of convergence of multinode Shepard operators
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: On the search of the shape parameter in radial basis functions using univariate global optimization methods
cites work: A comparison of efficiency and error convergence of multiquadric collocation method and finite element method.
cites work: Application of the multiquadric method for numerical solution of elliptic partial differential equations
DOI: 10.1016/J.CAM.2024.115896
description: scientific article; zbMATH DE number 7878264