A stable radial basis function partition of unity method for solving convection-diffusion equations on surfaces

DOI10.1016/j.enganabound.2023.05.054zbMATH Open1537.65106MaRDI QIDQ6539836

Yuanyang Qiao, Yajun Liu, Xinlong Feng

Publication date: 15 May 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

multivariate polynomialsradial basis functionconvection-diffusion equations on surfacesRBF-PU method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) PDEs on manifolds (35R01) Numerical radial basis function approximation (65D12)

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Related Items (4)

Numerical simulation of coupled Klein-Gordon-Schrödinger equations: RBF partition of unity ⋮ Direct RBF-PU method combined with the tangent plane approach for parabolic equation on surface ⋮ A study on the numerical solution of the Sobolev equation with a Burgers-type nonlinearity on two-dimensional irregular domains using the local RBF partition of unity method ⋮ A semi-Lagrangian radial basis function partition of unity closest point method for advection-diffusion equations on surfaces

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