On solving elliptic boundary value problems using a meshless method with radial polynomials
From MaRDI portal
Publication:2661394
DOI10.1016/j.matcom.2020.12.012OpenAlexW3115175474MaRDI QIDQ2661394
Chih-Yu Liu, Jing-En Xiao, Der-Guey Lin, Cheng-Yu Ku
Publication date: 7 April 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.12.012
Cites Work
- The singular finite element method for some elliptic boundary value problem with interface
- A numerical study of some radial basis function based solution methods for elliptic PDEs
- Higher-order finite volume methods for elliptic boundary value problems
- Integrated multiquadric radial basis function approximation methods
- Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary
- Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method
- A meshless radial basis function method for 2D steady-state heat conduction problems in anisotropic and inhomogeneous media
- A boundary element method for a class of elliptic boundary value problems of functionally graded media
- A high accurate simulation of thin plate problems by using the method of approximate particular solutions with high order polynomial basis
- Reproducing kernel particle method for radiative heat transfer in 1D participating media
- An interval for the shape parameter in radial basis function approximation
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- The radial basis function differential quadrature method with ghost points
- Radial basis function partition of unity method for modelling water flow in porous media
- The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method
- Thin plate spline radial basis functions for vibration analysis of clamped laminated composite plates
- Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions
- The method of particular solutions for solving nonlinear Poisson problems
- A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function
- A stabilized RBF collocation scheme for Neumann type boundary value problems
- Numerical experiments on optimal shape parameters for radial basis functions
- A Pseudospectral Fictitious Point Method for High Order Initial‐Boundary Value Problems
- A modified method of approximate particular solutions for solving linear and nonlinear PDEs
- On the Selection of a Good Shape Parameter of the Localized Method of Approximated Particular Solutions
- A highly accurate collocation Trefftz method for solving the Laplace equation in the doubly connected domains
This page was built for publication: On solving elliptic boundary value problems using a meshless method with radial polynomials