From Global to Local Radial Basis Function Collocation Method for Transport Phenomena
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Publication:3447755
DOI10.1007/978-1-4020-6095-3_14zbMath1323.65111OpenAlexW138019010MaRDI QIDQ3447755
Publication date: 28 October 2015
Published in: Advances in Meshfree Techniques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4020-6095-3_14
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Diffusion and convection (76R99)
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Cites Work
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- On using radial basis functions in a ``finite difference mode with applications to elasticity problems
- Meshfree explicit local radial basis function collocation method for diffusion problems
- Application of the diffuse approximation for solving fluid flow and heat transfer problems
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Local multiquadric approximation for solving boundary value problems
- Mesh-free radial basis function network methods with domain decomposition for approximation of functions and numerical solution of Poisson's equations
- On the optimal shape parameters of radial basis functions used for 2-D meshless methods
- Multilevel compact radial functions based computational schemes for some elliptic problems
- A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Towards a mesh-free computation of transport phenomena
- Axisymmetric multiquadrics
- Iterative domain decomposition meshless method modeling of incompressible viscous flows and conjugate heat transfer
- Solution of transient direct-chill aluminium billet casting problem with simultaneous material and interphase moving boundaries by a meshless method
- Radial Basis Functions
- Radial basis function collocation method solution of natural convection in porous media
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