A local grid refinement scheme for B-spline material point method

Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Cites Work

THB-splines: The truncated basis for hierarchical splines
Isogeometric analysis using LR B-splines
Material point method enhanced by modified gradient of shape function
A bridging domain method for coupling continua with molecular dynamics
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
A practical guide to splines
Meshless methods: An overview and recent developments
Application of a particle-in-cell method to solid mechanics
Generalized bridging domain method for coupling finite elements with discrete elements
A mesh-grading material point method and its parallelization for problems with localized extreme deformation
A particle method for history-dependent materials
Polynomial splines over locally refined box-partitions
An efficient staggered grid material point method
Modelling of landslides with the material-point method
Combining dual domain material point method with molecular dynamics for thermodynamic nonequilibriums
THB-splines: an effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis
A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
Second-order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces
Analysis and reduction of quadrature errors in the material point method (MPM)
Fluid-membrane interaction based on the material point method
A hybrid immersed boundary and material point method for simulating 3D fluid–structure interaction problems

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