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Distillation of the material point method cell crossing error leading to a novel quadrature‐based C0 remedy
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/(sici)1097-0207(20000110/30)47:1/3<9::aid-nme793>3.0.co;2-popenalex-snapshot
Achievements and some unsolved problems of the finite element method
inferredcites →https://doi.org/10.1002/nme.1096openalex-snapshot
The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves
inferredcites →https://doi.org/10.1002/nme.2360openalex-snapshot
Analysis and reduction of quadrature errors in the material point method (MPM)
inferredcites →https://doi.org/10.1002/nme.2787openalex-snapshot
Decoupling and balancing of space and time errors in the material point method (MPM)
inferredcites →https://doi.org/10.1002/nme.2981openalex-snapshot
Contact algorithms for the material point method in impact and penetration simulation
inferredcites →https://doi.org/10.1002/nme.3110openalex-snapshot
A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
inferredcites →https://doi.org/10.1002/nme.5580openalex-snapshot
Phase‐field material point method for brittle fracture
inferredcites →https://doi.org/10.1002/nme.5620openalex-snapshot
Enhancement of the material point method using B‐spline basis functions
inferredcites →https://doi.org/10.1002/nme.729openalex-snapshot
Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method
inferredcites →https://doi.org/10.1006/jcph.2002.7103openalex-snapshot
Energy Conservation Error in the Material Point Method for Solid Mechanics
inferredcites →https://doi.org/10.1007/1-4020-3468-7openalex-snapshot
An Introduction to Meshfree Methods and Their Programming
inferredcites →https://doi.org/10.1007/978-3-319-06136-8_6openalex-snapshot
A Particle Finite Element Method (PFEM) for Coupled Thermal Analysis of Quasi and Fully Incompressible Flows and Fluid-Structure Interaction Problems
inferredcites →https://doi.org/10.1007/s10704-007-9051-zopenalex-snapshot
Simulation of dynamic crack growth using the generalized interpolation material point (GIMP) method
inferredcites →https://doi.org/10.1007/s10704-011-9602-1openalex-snapshot
Simulation of dynamic fracture with the Material Point Method using a mixed J-integral and cohesive law approach
inferredcites →https://doi.org/10.1007/s11831-010-9045-2openalex-snapshot
An Object-oriented Environment for Developing Finite Element Codes for Multi-disciplinary Applications
inferredcites →https://doi.org/10.1016/0010-4655(94)00170-7openalex-snapshot
Application of a particle-in-cell method to solid mechanics
inferredcites →https://doi.org/10.1016/0045-7825(94)90112-0openalex-snapshot
A particle method for history-dependent materials
inferredcites →https://doi.org/10.1016/j.cma.2019.04.024openalex-snapshot
An efficient staggered grid material point method
inferredcites →https://doi.org/10.1016/j.compstruc.2010.01.004openalex-snapshot
Analysis of spatial interpolation in the material-point method
inferredcites →https://doi.org/10.1016/j.ijimpeng.2008.07.001openalex-snapshot
Comparison study of MPM and SPH in modeling hypervelocity impact problems
inferredcites →https://doi.org/10.1016/j.jcp.2008.07.019openalex-snapshot
An evaluation of explicit time integration schemes for use with the generalized interpolation material point method
inferredcites →https://doi.org/10.1016/s0045-7825(98)00107-8openalex-snapshot
ALE formulation and its application in solid mechanics
inferredcites →https://doi.org/10.1016/s0045-7825(99)00338-2openalex-snapshot
The material-point method for granular materials
inferredcites →https://doi.org/10.1061/(asce)em.1943-7889.0001176openalex-snapshot
Meshfree Methods: Progress Made after 20 Years
inferredcites →https://doi.org/10.1093/mnras/181.3.375openalex-snapshot
Smoothed particle hydrodynamics: theory and application to non-spherical stars
inferredcites →https://doi.org/10.1145/3130800.3130879openalex-snapshot
An adaptive generalized interpolation material point method for simulating elastoplastic materials
inferredcites →https://doi.org/10.3390/ma10101150openalex-snapshot
Comparison of a Material Point Method and a Galerkin Meshfree Method for the Simulation of Cohesive-Frictional Materials
inferredcites →https://doi.org/10.3970/cmes.2003.004.649openalex-snapshot
Material Point Method Calculations with Explicit Cracks
inferredcites →https://doi.org/10.3970/cmes.2004.005.477openalex-snapshot
The Generalized Interpolation Material Point Method
inferredcites →https://doi.org/10.4028/www.scientific.net/amm.712.3openalex-snapshot
Simulation-Based Engineering Science Challenges of the 21st Century
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4353551openalex-extracted
An Implicit Material Point Method Using a Cell-Based Integration Scheme for Large Deformation Static Problems
inferred← citeshttps://doi.org/10.2139/ssrn.4523248openalex-extracted
An Implicit Material Point Method Using a Cell-Based Integration Scheme for Large Deformation Static Problems
inferred← citeshttps://doi.org/10.1002/nag.3808openalex-snapshot
Granular material regime transitions during high energy impacts of dry flowing masses: MPM simulations with a multi‐regime constitutive model
inferred← citeshttps://doi.org/10.1002/nme.70003openalex-snapshot
An Extended B‐Spline‐Based Material Point Method for Contact Problems
inferred← citeshttps://doi.org/10.1002/nme.70132openalex-snapshot
Smoothed Total Lagrangian Material Point Method for Dynamic Large Deformation Analysis of Soft Materials
inferred← citeshttps://doi.org/10.1002/nme.70291openalex-snapshot
The Virtual Stress Boundary Method to Impose Nonconforming Neumann Boundary Conditions in the High‐Order Material Point Method
inferred← citeshttps://doi.org/10.1007/s00466-023-02412-wopenalex-snapshot
Lagrange multiplier imposition of non-conforming essential boundary conditions in implicit material point method
inferred← citeshttps://doi.org/10.1007/s00466-024-02524-xopenalex-snapshot
Unstructured moving least squares material point methods: a stable kernel approach with continuous gradient reconstruction on general unstructured tessellations
inferred← citeshttps://doi.org/10.1007/s10409-022-22355-xopenalex-snapshot
A convected particle Gauss-quadrature interpolation for the cell crossing error reduction
inferred← citeshttps://doi.org/10.1007/s40571-024-00720-3openalex-snapshot
An implicit material point method using a cell-based integration scheme for large deformation static problems
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2026.104275openalex-snapshot
Implementation of the Granular Material Point Method for soil modeling in Uintah
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116567openalex-snapshot
A subdivision-stabilized B-spline mixed material point method
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117291openalex-snapshot
A B-spline based gradient-enhanced micropolar implicit material point method for large localized inelastic deformations
inferred← citeshttps://doi.org/10.1016/j.compgeo.2022.104709openalex-snapshot
An adaptive interpolation material point method and its application on large-deformation geotechnical problems
inferred← citeshttps://doi.org/10.1016/j.compgeo.2024.106385openalex-snapshot
A multi-phase/multi-regime modelling approach for saturated granular media
inferred← citeshttps://doi.org/10.1016/j.compgeo.2026.108154openalex-snapshot
Implicit partitioned-integration material point method for saturated porous media with an incompressible stabilization approach
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109449openalex-snapshot
Two different phase field models of the explicit material point method for brittle dynamic fracture
inferred← citeshttps://doi.org/10.1139/cgj-2025-0794openalex-snapshot
Modelling crack propagation in rocks: a consistent numerical manifold and material point method with quasi-static and dynamic contact
inferred← citeshttps://doi.org/10.1145/3731155openalex-snapshot
CK-MPM: A Compact-Kernel Material Point Method
inferred← citeshttps://doi.org/10.1186/s40323-022-00229-5openalex-snapshot
A partitioned material point method and discrete element method coupling scheme
inferred← citeshttps://doi.org/10.1186/s40323-022-00233-9openalex-snapshot
A deformation-dependent coupled Lagrangian/semi-Lagrangian meshfree hydromechanical formulation for landslide modeling
inferred← citeshttps://doi.org/10.3389/fbuil.2021.659382openalex-snapshot
Advanced Modeling and Simulation of Rockfall Attenuator Barriers Via Partitioned DEM-FEM Coupling
inferred← citeshttps://doi.org/10.3390/math11040907openalex-snapshot
An Improved Material Point Method with Aggregated and Smoothed Bernstein Functions
inferred← citeshttps://doi.org/10.5194/gmd-14-7749-2021openalex-snapshot
An explicit GPU-based material point method solver for elastoplastic problems (ep2-3De v1.0)
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