A meshless method of solving three-dimensional nonstationary heat conduction problems in anisotropic materials
DOI10.1007/s10559-021-00372-8zbMath1479.65012OpenAlexW3164712351MaRDI QIDQ2044050
O. Yu. Lisina, D. O. Protektor, V. M. Kolodyazhny, D. O. Lisin
Publication date: 4 August 2021
Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10559-021-00372-8
anisotropic materialsboundary-value problemsdual reciprocity methodmeshless methodmethod of fundamental solutionanisotropic radial basis functions
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80) Numerical radial basis function approximation (65D12)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mfree2D
- Methods for obtaining reliable solutions to systems of linear algebraic equations
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A stabilized finite point method for analysis of fluid mechanics problems
- Local multiquadric approximation for solving boundary value problems
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Variational statements and discretization of the boundary-value problem of elasticity where stress at the boundary is known
- Numerical solution of some inverse nonstationary thermal conduction problems using pseudoinverses
- A meshless model for transient heat conduction in functionally graded materials
- Fundamental Solutions Method for Elliptic Boundary Value Problems
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Element‐free Galerkin methods
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry
- Reproducing kernel particle methods for structural dynamics
- A mesh free approach using radial basis functions and parallel domain decomposition for solving three‐dimensional diffusion equations
This page was built for publication: A meshless method of solving three-dimensional nonstationary heat conduction problems in anisotropic materials
