Localized meshless methods based on polynomial basis functions for solving axisymmetric equations
From MaRDI portal
Publication:1998127
DOI10.1016/j.matcom.2020.05.006OpenAlexW3025792079MaRDI QIDQ1998127
Wanru Chang, Ching-Shyang Chen, Jichun Li, Xiao Yan Liu
Publication date: 6 March 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.2020.05.006
axisymmetric problemsparticular solutionspolynomial basis functionslocalized method of particular solutions
Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Related Items
Cites Work
- An efficient Chebyshev-tau method for solving the space fractional diffusion equations
- Postprocessing mixed finite element methods for solving Cahn-Hilliard equation: methods and error analysis
- The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions
- Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method
- The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations
- Quantum-discord-triggered superradiance and subradiance in a system of two separated atoms
- A localized approach for the method of approximate particular solutions
- Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation
- Chebyshev-type methods and preconditioning techniques
- Stabilized multiscale finite element method for the stationary Navier-Stokes equations
- A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy 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
- High-accuracy quadrature methods for solving boundary integral equations of axisymmetric elasticity problems
- Polynomial particular solutions for solving elliptic partial differential equations
- Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains
- Particular solutions for axisymmetric Helmholtz-type operators
- A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
- On choosing ``optimal shape parameters for RBF approximation
- 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
- DERIVATION OF PARTICULAR SOLUTIONS USING CHEBYSHEV POLYNOMIAL BASED FUNCTIONS
- The method of fundamental solutions for axisymmetric potential problems
- A mesh‐free approach to solving the axisymmetric Poisson's equation
- Polynomial particular solutions for certain partial differential operators
- A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation