Upwind strategies for local RBF scheme to solve convection dominated problems

DOI10.1016/j.enganabound.2014.06.008zbMath1403.65175OpenAlexW2032738278MaRDI QIDQ1653477

Y. V. S. S. Sanyasiraju, Chirala Satyanarayana

Publication date: 6 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.2014.06.008

zbMATH Keywords

convection-diffusionradial basis functionoptimal shape parametergrid-free schememulti-quadric

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items (8)

Local meshless differential quadrature collocation method for time-fractional PDEs ⋮ 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 ⋮ Estimation of Dispersion in an Open Channel from an Elevated Source Using an Upwind Local Meshless Method ⋮ A Local Meshless Method for Steady State Convection Dominated Flows ⋮ Local RBF method for multi-dimensional partial differential equations ⋮ Analysis on the upwind local radial basis functions method to solve convection dominated problems and it's application for MHD flow ⋮ Numerical Simulation of the Convection–Diffusion PDEs on a Sphere with RBF-FD and RBF-QR Methods

Cites Work

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• Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
• On optimization of the RBF shape parameter in a grid-free local scheme for convection dominated problems over non-uniform centers
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
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• The Runge phenomenon and spatially variable shape parameters in RBF interpolation
• Scattered node compact finite difference-type formulas generated from radial basis functions
• Numerical experiments on optimal shape parameters for radial basis functions
• Local RBF-FD solutions for steady convection–diffusion problems
• A note on two upwind strategies for RBF-based grid-free schemes to solve steady convection-diffusion equations
• Scattered Data Interpolation: Tests of Some Method

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