A boundary cloud method with a cloud-by-cloud polynomial basis.

DOI10.1016/S0955-7997(02)00110-8zbMath1037.78017MaRDI QIDQ1399221

N. R. Aluru, Gang Li

Publication date: 30 July 2003

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

zbMATH Keywords

least-squares approachmeshless methodpolynomial basisBoundary cloud methodcloud by cloud

Mathematics Subject Classification ID

Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for partial differential equations, boundary value problems (65N99)

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Cites Work

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• Meshless methods: An overview and recent developments
• A stabilized finite point method for analysis of fluid mechanics problems
• Boundary cloud method: a combined scattered point/boundary integral approach for boundary-only analysis
• Symmetric boundary knot method
• Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation
• The boundary node method for three-dimensional linear elasticity
• Surfaces Generated by Moving Least Squares Methods
• The boundary node method for three-dimensional problems in potential theory
• A fast boundary cloud method for exterior 2D electrostatic analysis
• On the application of 2D potential theory to electrostatic simulation
• A fast algorithm for particle simulations