Distillation of the material point method cell crossing error leading to a novel quadrature-based \(C_0\) remedy

DOI10.1002/NME.6588zbMATH Open1548.65344MaRDI QIDQ6553310

Peter B. Wilson, R. Wüchner, Dilum Fernando

Publication date: 11 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

particle methodsmaterial point methodmesh-free methodscell crossing error

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Simulation of dynamic crack growth using the generalized interpolation material point (GIMP) method
• Energy conservation error in the material point method for solid mechanics
• An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
• Application of a particle-in-cell method to solid mechanics
• The material-point method for granular materials
• ALE formulation and its application in solid mechanics
• A particle method for history-dependent materials
• An object-oriented environment for developing finite element codes for multi-disciplinary applications
• An efficient staggered grid material point method
• Simulation of dynamic fracture with the material point method using a mixed J-integral and cohesive law approach
• Finite element method. Vol. 2: Solid mechanics.
• The affine particle-in-cell method
• A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
• Contact algorithms for the material point method in impact and penetration simulation
• Decoupling and balancing of space and time errors in the material point method (MPM)
• Analysis and reduction of quadrature errors in the material point method (MPM)
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Element‐free Galerkin methods
• Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method
• The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves
• Phase-field material point method for brittle fracture
• Enhancement of the material point method using B-spline basis functions

Related Items (2)

Lagrange multiplier imposition of non-conforming essential boundary conditions in implicit material point method ⋮ A B-spline based gradient-enhanced micropolar implicit material point method for large localized inelastic deformations

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