Analysis on the upwind local radial basis functions method to solve convection dominated problems and it's application for MHD flow
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Publication:1717148
DOI10.1016/j.enganabound.2018.03.014zbMath1464.76171OpenAlexW2794735432MaRDI QIDQ1717148
Ahmad Golbabai, Naghi Kalarestaghi
Publication date: 7 February 2019
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.03.014
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Basic methods in fluid mechanics (76M99)
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Cites Work
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- Optimal variable shape parameter for multiquadric based RBF-FD method
- Local RBF-based differential quadrature collocation method for the boundary layer problems
- RBF-FD formulas and convergence properties
- Optimal constant shape parameter for multiquadric based RBF-FD method
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation
- On the optimal shape parameters of radial basis functions used for 2-D meshless methods
- Interpolation in the limit of increasingly flat radial basis functions
- Upwind strategies for local RBF scheme to solve convection dominated problems
- Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems
- Improved localized radial basis functions with fitting factor for dominated convection-diffusion differential equations
- On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers
- Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
- A fitted numerical method to investigate the effect of various parameters on an MHD flow over an inclined plate
- Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems
- A point interpolation meshless method based on radial basis functions
- Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems
- Monotonicity and Discretization Error Estimates
