RBF-based meshless local Petrov Galerkin method for the multi-dimensional convection-diffusion-reaction equation

DOI10.1016/j.enganabound.2018.10.003zbMath1404.65176OpenAlexW2896099360WikidataQ129039942 ScholiaQ129039942MaRDI QIDQ1634620

Xinlong Feng, Jingwei Li, Yin-Nian He

Publication date: 18 December 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.2018.10.003

zbMATH Keywords

unconditional stabilityconvection-diffusion-reaction equationKronecker delta functionmeshless local Petrov Galerkin methodradial basis function collocation method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (8)

Solving fractional Laplacian visco-acoustic wave equations on complex-geometry domains using Grünwald-formula based radial basis collocation method ⋮ The interpolating element-free Galerkin method for three-dimensional elastoplasticity problems ⋮ The dimension coupling method for 3D steady convection-diffusion-reaction problems with variable coefficients ⋮ A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems ⋮ On the use of radial point interpolation method (RPIM) in a high order continuation for the resolution of the geometrically nonlinear elasticity problems ⋮ Numerical Simulation of the Convection–Diffusion PDEs on a Sphere with RBF-FD and RBF-QR Methods ⋮ Method of Order Reduction for the High-Dimensional Convection-Diffusion-Reaction Equation with Robin Boundary Conditions Based on MQ RBF-FD ⋮ A leap-frog meshless method with radial basis functions for simulating electromagnetic wave splitter and rotator

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