The method of particular solutions with polynomial basis functions for solving axisymmetric problems

DOI10.1016/j.enganabound.2018.01.004zbMath1403.65262OpenAlexW2789577633WikidataQ130197989 ScholiaQ130197989MaRDI QIDQ1657107

Ming Li, Meizhen Wang, Daniel W. Watson

Publication date: 13 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.01.004

zbMATH Keywords

Houbolt methodHelmholtz equationaxisymmetric equationpolynomial basismethod of particular solutionsmultiple scale technique

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (8)

A strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomials ⋮ A fast singular boundary method for 3D Helmholtz equation ⋮ A hybrid fundamental-solution-based 8-node element for axisymmetric elasticity problems ⋮ Numerical solution to the deflection of thin plates using the two-dimensional Berger equation with a meshless method based on multiple-scale Pascal polynomials ⋮ The MAPS with polynomial basis functions for solving axisymmetric time-fractional equations ⋮ An efficient method of approximate particular solutions using polynomial basis functions ⋮ Hybrid method of space-time and Houbolt methods for solving linear time-dependent problems ⋮ A Meshfree Computational Approach Based on Multiple-Scale Pascal Polynomials for Numerical Solution of a 2D Elliptic Problem with Nonlocal Boundary Conditions

Cites Work

• Unnamed Item
• On choosing the location of the sources in the MFS
• The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations
• The time-marching method of fundamental solutions for wave equations
• A modified collocation Trefftz method for the inverse Cauchy problem of Laplace equation
• A new investigation into regularization techniques for the method of fundamental solutions
• A localized approach for the method of approximate particular solutions
• On the numerical solution of axisymmetric elasticity problems using an integral equation approach
• A boundary integral approach to potential and elasticity problems for axisymmetric bodies with arbitrary boundary conditions
• The method of fundamental solutions for elliptic boundary value problems
• Method of approximate particular solutions for constant- and variable-order fractional diffusion models
• High-accuracy quadrature methods for solving boundary integral equations of axisymmetric elasticity problems
• Polynomial particular solutions for solving elliptic partial differential equations
• Particular solutions for axisymmetric Helmholtz-type operators
• Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
• A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation
• Multiquadric and Chebyshev approximation to three-dimensional thermoelasticity with arbitrary body forces
• The method of approximate particular solutions for solving certain partial differential equations
• THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS
• The Particular Solutions of Chebyshev Polynomials for Reissner Plates under Arbitrary Loadings
• The method of particular solutions for solving scalar wave equations
• Fictitious Time Integration Method of Fundamental Solutions with Chebyshev Polynomials for Solving Poisson-type Nonlinear PDEs
• Particular Solutions of Chebyshev Polynomials for Polyharmonic and Poly-Helmholtz Equations
• The method of fundamental solutions for axisymmetric potential problems
• A mesh‐free approach to solving the axisymmetric Poisson's equation
• A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation
• A unified starting procedure for the Houbolt method

This page was built for publication: The method of particular solutions with polynomial basis functions for solving axisymmetric problems