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An evaluation of explicit time integration schemes for use with the generalized interpolation material point method

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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(19990410)44:10<1429::aid-nme536>3.0.co;2-4openalex-snapshot
The material point method for simulation of thin membranes
inferredcites →https://doi.org/10.1002/(sici)1097-0207(20000630)48:6<901::aid-nme910>3.0.co;2-topenalex-snapshot
Fluid-membrane interaction based on the material point method
inferredcites →https://doi.org/10.1002/nme.1512openalex-snapshot
An energy‐consistent material‐point method for dynamic finite deformation plasticity
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/10.1016/0010-4655(94)00170-7openalex-snapshot
Application of a particle-in-cell method to solid mechanics
inferredcites →https://doi.org/10.1016/0021-9991(86)90211-1openalex-snapshot
FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
inferredcites →https://doi.org/10.1016/0045-7825(94)00033-6openalex-snapshot
A particle method for history-dependent materials
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.2003.12.011openalex-snapshot
Implicit dynamics in the material-point method
inferredcites →https://doi.org/10.1016/j.cma.2005.06.027openalex-snapshot
An unconditionally stable, energy–momentum consistent implementation of the material-point method
inferredcites →https://doi.org/10.1016/s0045-7825(96)01091-2openalex-snapshot
Axisymmetric form of the material point method with applications to upsetting and Taylor impact problems
inferredcites →https://doi.org/10.1029/2005jc003329openalex-snapshot
Using the material‐point method to model sea ice dynamics
inferredcites →https://doi.org/10.1201/9781420035421openalex-snapshot
Verification of Computer Codes in Computational Science and Engineering
inferredcites →https://doi.org/10.3970/cmes.2001.002.509openalex-snapshot
An Improved Contact Algorithm for the Material Point Method and Application to Stress Propagation in Granular Material
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/10.3970/cmes.2007.019.223openalex-snapshot
Improved Velocity Projection for the Material Point Method
inferredcites →https://doi.org/10.5860/choice.38-3926openalex-snapshot
Nonlinear finite elements for continua and structures

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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An Implicit Material Point Method Using a Cell-Based Integration Scheme for Large Deformation Static Problems
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An Implicit Material Point Method Using a Cell-Based Integration Scheme for Large Deformation Static Problems
inferred← citeshttps://doi.org/10.1002/apj.2426openalex-snapshot
Numerical simulation of granular mixing in a rotary drum using a generalized interpolation material point method
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Scalable large‐scale fluid–structure interaction solvers in the Uintah framework via hybrid task‐based parallelism algorithms
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Solving time‐dependent PDEs using the material point method, a case study from gas dynamics
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Evaluation of material point method for use in geotechnics
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Investigation of the Impact Response of Bi‐Continuous Nanoporous Solids via the Material Point Method: Verification Against Molecular Dynamics Predictions
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A Multi‐Resolution Material Point Method Based on Penalty Formulation
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Decoupling and balancing of space and time errors in the material point method (MPM)
inferred← citeshttps://doi.org/10.1002/nme.3041openalex-snapshot
A weighted least squares particle‐in‐cell method for solid mechanics
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A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
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A high‐order accurate particle‐in‐cell method
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Second‐order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces
inferred← citeshttps://doi.org/10.1002/nme.5317openalex-snapshot
Field‐gradient partitioning for fracture and frictional contact in the material point method
inferred← citeshttps://doi.org/10.1002/nme.5620openalex-snapshot
Enhancement of the material point method using B‐spline basis functions
inferred← citeshttps://doi.org/10.1002/nme.5780openalex-snapshot
Local transmitting boundaries for the generalized interpolation material point method
inferred← citeshttps://doi.org/10.1002/nme.6257openalex-snapshot
A convected particle least square interpolation material point method
inferred← citeshttps://doi.org/10.1002/nme.6381openalex-snapshot
Dynamic brittle fracture with eigenerosion enhanced material point method
inferred← citeshttps://doi.org/10.1002/nme.6506openalex-snapshot
A precise critical time step formula for the explicit material point method
inferred← citeshttps://doi.org/10.1002/nme.6588openalex-snapshot
Distillation of the material point method cell crossing error leading to a novel quadrature‐based C0 remedy
inferred← citeshttps://doi.org/10.1002/nme.6653openalex-snapshot
Extended material point method for the three‐dimensional crack problems
inferred← citeshttps://doi.org/10.1002/nme.6886openalex-snapshot
Beam elements with frictional contact in the material point method
inferred← citeshttps://doi.org/10.1002/nme.6906openalex-snapshot
Multiple‐GPU parallelization of three‐dimensional material point method based on single‐root complex
inferred← citeshttps://doi.org/10.1002/nme.70223openalex-snapshot
A Finite Element Particle Method for Extreme Deformation Problems
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/10.1002/nme.7347openalex-snapshot
Circumventing volumetric locking in explicit material point methods: A simple, efficient, and general approach
inferred← citeshttps://doi.org/10.1002/nme.7359openalex-snapshot
An efficient solid shell material point method for large deformation of thin structures
inferred← citeshttps://doi.org/10.1002/nme.7389openalex-snapshot
An improved convected particle domain interpolation material point method for large deformation geotechnical problems
inferred← citeshttps://doi.org/10.1007/978-3-031-24070-6_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-031-24070-6_2openalex-snapshot
A General MPM for Solid Mechanics
inferred← citeshttps://doi.org/10.1007/978-3-031-24070-6_9openalex-snapshot
Stability, Accuracy and Recent Improvements
inferred← citeshttps://doi.org/10.1007/978-3-319-39022-2_10openalex-snapshot
Improving the Material-Point Method
inferred← citeshttps://doi.org/10.1007/978-94-007-7769-9_3openalex-snapshot
A Full-Eulerian Approach for the Fluid–Structure Interaction Problem
inferred← citeshttps://doi.org/10.1007/s00366-013-0342-xopenalex-snapshot
Verification tests in solid mechanics
inferred← citeshttps://doi.org/10.1007/s00366-024-02098-5openalex-snapshot
Toward engineering lattice structures with the material point method (MPM)
inferred← citeshttps://doi.org/10.1007/s00466-019-01670-xopenalex-snapshot
A convected-particle tetrahedron interpolation technique in the material-point method for the mesoscale modeling of ceramics
inferred← citeshttps://doi.org/10.1007/s00466-023-02381-0openalex-snapshot
A variationally consistent reproducing kernel enhanced material point method and its applications to incompressible materials
inferred← citeshttps://doi.org/10.1007/s10346-020-01581-6openalex-snapshot
Analysis of the run-out processes of the Xinlu Village landslide using the generalized interpolation material point method
inferred← citeshttps://doi.org/10.1007/s11831-014-9095-yopenalex-snapshot
Simulation at Extreme-Scale: Co-Design Thinking and Practices
inferred← citeshttps://doi.org/10.1007/s11831-024-10170-yopenalex-snapshot
Critical Comparison of Motion Integration Strategies and Discretization Choices in the Material Point Method
inferred← citeshttps://doi.org/10.1007/s40571-016-0134-3openalex-snapshot
Improving accuracy in the MPM method using a null space filter
inferred← citeshttps://doi.org/10.1007/s40571-018-0182-yopenalex-snapshot
Nonlinear stability and time step selection for the MPM method
inferred← citeshttps://doi.org/10.1007/s40571-020-00316-7openalex-snapshot
Comparison and unification of material-point and optimal transportation meshfree methods
inferred← citeshttps://doi.org/10.1007/s40571-020-00328-3openalex-snapshot
Extension of B-spline Material Point Method for unstructured triangular grids using Powell–Sabin splines
inferred← citeshttps://doi.org/10.1007/s40571-021-00457-3openalex-snapshot
Energy conservation and accuracy of some MPM formulations
inferred← citeshttps://doi.org/10.1007/s40571-022-00530-5openalex-snapshot
Computational error estimation for the Material Point Method
inferred← citeshttps://doi.org/10.1007/s40571-023-00615-9openalex-snapshot
Large Deformation and Brittle Failure Calculated Using the Dual-Domain Material Point Method
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/10.1007/s40571-025-01026-8openalex-snapshot
Reduction of stress oscillations in the material point method based on the random grid-shift technique
inferred← citeshttps://doi.org/10.1007/s40571-025-01098-6openalex-snapshot
A novel local grid refinement scheme for material point method
inferred← citeshttps://doi.org/10.1016/b978-0-12-407716-4.00003-xopenalex-snapshot
The Material Point Method
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Material point method after 25 years: Theory, implementation, and applications
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Programming the material point method in Julia
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Implementation of the Granular Material Point Method for soil modeling in Uintah
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Material point method for dynamic analysis of saturated porous media under external contact/impact of solid bodies
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A nonlocal plasticity formulation for the material point method
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An adaptive finite element material point method and its application in extreme deformation problems
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Scalable FEA on non-conforming assembly mesh
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Material point method with enriched shape function for crack problems
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Time-discontinuous material point method for transient problems
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An efficient staggered grid material point method
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A coupled finite volume and material point method for two-phase simulation of liquid–sediment and gas–sediment flows
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Cohesive zones to model bonding in granular material with the material point method
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A B-spline based gradient-enhanced micropolar implicit material point method for large localized inelastic deformations
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A staggered grid shell particle method for shell structural damage subjected to underwater explosion
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Stability analyses and instability mitigation for the material point method
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A semi-conservative depth-averaged material point method for fast flow-like landslides and mudflows
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v-p material point method for weakly compressible problems
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A comparative analysis of mesh-based and particle-based numerical methods for landslide run-out simulations
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Formulation of the axisymmetric CPDI with application to pile driving in sand
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Simulation of penetration of a foundation element in Tresca soil using the generalized interpolation material point method (GIMP)
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Reseeding of particles in the material point method for soil–structure interactions
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MPM modeling of pile installation in sand: Contact improvement and quantitative analysis
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A Coupled FEM-MPM GPU-based algorithm and applications in geomechanics
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An explicit material point and finite volume sequentially coupled method for simulating large deformation problems in saturated soil
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Simulation of cone penetration in soil using the material point method
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iGIMP: An implicit generalised interpolation material point method for large deformations
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From solid to disconnected state and back: Continuum modelling of granular flows using material point method
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B-spline convected particle domain interpolation method
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Plowing mechanism of rapid flow-like loess landslides: Insights from MPM modeling
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On a family of convected particle domain interpolations in the material point method
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Optimized algorithm selection and parameter identification procedure for modeling projectile penetration into UHPC target with material point method and Kong-Fang model
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Material point method enhanced by modified gradient of shape function
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Mitigating kinematic locking in the material point method
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Nodal force error and its reduction for material point methods
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Multi-scale defect interactions in high-rate brittle material failure. Part I: Model formulation and application to ALON
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Modelling of Fall-cone Tests with Strain-rate Effects
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Numerical simulation of a free fall penetrometer deployment using the material point method
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Comparison of UBCSAND and Hypoplastic soil model predictions using the Material Point Method
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Modeling of Free Surface Flows Using Improved Material Point Method and Dynamic Adaptive Mesh Refinement
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Row spacing as a controller of solar module temperature and power output in solar farms
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Implicit Time Integration in the Generalized Interpolation Material Point Method for Finite Deformation Hyperelasticity
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Multiscale Modeling of Accidental Explosions and Detonations
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Tetrahedral Fluid Method Applied to FDTD for Simulation of Transient Behaviors of High-Energy Collisionless Plasmas
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Stability analysis of explicit MPM
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Particle-In-Cell Method for Fluid-Structure Interaction Simulations of Neo-Hookean Tube Flows
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Numerical simulations of triaxial compression tests using the Material Point Method
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Fall cone tests on sensitive marine clay: a comprehensive experimental study and its replication with the Generalized Interpolation Material Point Method
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DEVELOPMENT AND VERIFICATION OF ENERGY SUPPRESSION SCHEME FOR THE MATERIAL POINT METHOD
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Symplectic Time Integration Methods for the Material Point Method, Experiments, Analysis and Order Reduction
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Large-scale distributed runtime system for dag-based computational framework
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Análise numérica do processo de instalação de estacas de deslocamento utilizando o Método do Ponto Material
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Development and validation of a meshless 3D material point method for simulating the micro-milling process
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The Mesoscopic Numerical Simulation of GAP/CL20/AP Composite Solid Propellant Based on MPM and FEM
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Examination and Analysis of Implementation Choices within the Material Point Method (MPM)
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Unconditionally Stable Convergence with Power Principle-based Time-Integration Schemes
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Material Point Method with RBF Interpolation
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A fast and efficient MATLAB-based MPM solver: fMPMM-solver v1.1
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Matter (v1): an open-source MPM solver for granular matter
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Discrete-continuum hybrid modelling of flowing and static regimes
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