Fast variable density 3-D node generation

Abstract

Mesh-free solvers for partial differential equations perform best on scattered quasi-uniform nodes. Computational efficiency can be improved by using nodes with greater spacing in regions of less activity. We present an advancing front type method to generate variable density nodes in 2-D and 3-D with clear generalization to higher dimensions. The exhibited cost of generating a node set of size $N$ in 2-D and 3-D with the present method is O(N).

References in corpus (2)

• On generation of node distributions for meshless PDE discretizations
• Fast high-dimensional node generation with variable density

Cited by in corpus (5)

• Discretization of non-uniform rational B-spline (NURBS) models for meshless isogeometric analysis
• Spatially dependent node regularity in meshless approximation of partial differential equations
• Rapid Variable Resolution Particle Initialization for Complex Geometries
• Adaptive hyperviscosity stabilisation for the RBF-FD method in solving advection-dominated transport equations
• Spatially-varying meshless approximation method for enhanced computational efficiency