An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations

DOI10.1016/j.apnum.2022.03.015zbMath1493.65175OpenAlexW4220925378MaRDI QIDQ2143080

Ngo Manh Tuong, Dang Thi Oanh

Publication date: 30 May 2022

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.03.015

zbMATH Keywords

meshless methodsgeneralized finite differencesadaptive refinementRBF-FD2D elliptic equations

Mathematics Subject Classification ID

Numerical interpolation (65D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical radial basis function approximation (65D12)

Uses Software

• Matlab
• Partial Differential Equation Toolbox
• GaussQR
• rbf_qr

Cites Work

• Unnamed Item
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• An Algorithm for Finding Best Matches in Logarithmic Expected Time
• Radial Basis Functions
• Scattered Data Approximation

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