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Michael Charles Hillman
Michael Charles Hillman
Principal Scientist, Karagozian and Case, Inc.
Verified email at kcse.com - Homepage
Title
Cited by
Cited by
Year
Meshfree methods: progress made after 20 years
JS Chen, M Hillman, SW Chi
Journal of Engineering Mechanics 143 (4), 04017001, 2017
4412017
An arbitrary order variationally consistent integration for Galerkin meshfree methods
JS Chen, M Hillman, M Rüter
International Journal for Numerical Methods in Engineering 95 (5), 387-418, 2013
2272013
An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics
M Hillman, JS Chen
International Journal for Numerical Methods in Engineering 107 (7), 603-630, 2016
1822016
Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems
M Hillman, JS Chen, SW Chi
Computational Particle Mechanics 1, 245-256, 2014
662014
A new formulation for air-blast fluid–structure interaction using an immersed approach: part II—coupling of IGA and meshfree discretizations
Y Bazilevs, G Moutsanidis, J Bueno, K Kamran, D Kamensky, MC Hillman, ...
Computational mechanics 60, 101-116, 2017
572017
Meshfree and Particle Methods: Fundamentals and Applications
T Belytschko, JS Chen, M Hillman
Wiley, 2023
542023
RKPM2D: an open-source implementation of nodally integrated reproducing kernel particle method for solving partial differential equations
TH Huang, H Wei, JS Chen, MC Hillman
Computational particle mechanics 7 (2), 393-433, 2020
542020
Generalized reproducing kernel peridynamics: unification of local and non-local meshfree methods, non-local derivative operations, and an arbitrary-order state-based …
M Hillman, M Pasetto, G Zhou
Computational Particle Mechanics, 1-35, 2019
532019
A stabilized nodally integrated meshfree formulation for fully coupled hydro-mechanical analysis of fluid-saturated porous media
H Wei, JS Chen, M Hillman
Computers & Fluids 141, 105-115, 2016
452016
Meshfree modeling of concrete slab perforation using a reproducing kernel particle impact and penetration formulation
JA Sherburn, MJ Roth, JS Chen, M Hillman
International Journal of Impact Engineering 86, 96-110, 2015
432015
Variationally consistent domain integration for isogeometric analysis
M Hillman, JS Chen, Y Bazilevs
Computer Methods in Applied Mechanics and Engineering 284, 521-540, 2015
422015
Nodally integrated implicit gradient reproducing kernel particle method for convection dominated problems
M Hillman, JS Chen
Computer Methods in Applied Mechanics and Engineering 299, 381-400, 2016
322016
Reproducing kernel particle method for solving partial differential equations
JS Chen, WK Liu, MC Hillman, SW Chi, Y Lian, MA Bessa
Encyclopedia of computational mechanics 2, 691-734, 2017
232017
Corrected stabilized non-conforming nodal integration in meshfree methods
M Rüter, M Hillman, JS Chen
Meshfree methods for partial differential equations VI, 75-92, 2013
222013
Consistent immersed volumetric Nitsche methods for composite analysis
J Wang, G Zhou, M Hillman, A Madra, Y Bazilevs, J Du, K Su
Computer Methods in Applied Mechanics and Engineering 385, 114042, 2021
202021
IGA-PD penalty-based coupling for immersed air-blast fluid–structure interaction: a simple and effective solution for fracture and fragmentation
M Behzadinasab, M Hillman, Y Bazilevs
Journal of Mechanics 37, 680-692, 2021
202021
Consistent weak forms for meshfree methods: Full realization of h-refinement, p-refinement, and a-refinement in strong-type essential boundary condition enforcement
M Hillman, KC Lin
Computer Methods in Applied Mechanics and Engineering 373, 113448, 2021
172021
Reduced quadrature for finite element and isogeometric methods in nonlinear solids
W Li, G Moutsanidis, M Behzadinasab, M Hillman, Y Bazilevs
Computer Methods in Applied Mechanics and Engineering 399, 115389, 2022
162022
Performance comparison of nodally integrated Galerkin meshfree methods and nodally collocated strong form meshfree methods
M Hillman, JS Chen
Advances in Computational Plasticity: A Book in Honour of D. Roger J. Owen …, 2018
162018
A semi-Lagrangian reproducing kernel particle method with particle-based shock algorithm for explosive welding simulation
J Baek, JS Chen, G Zhou, KP Arnett, MC Hillman, G Hegemier, ...
Computational Mechanics 67 (6), 1601-1627, 2021
152021
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