Meshfree methods: progress made after 20 years JS Chen, M Hillman, SW Chi Journal of Engineering Mechanics 143 (4), 04017001, 2017 | 415 | 2017 |
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 | 219 | 2013 |
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 | 178 | 2016 |
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 | 65 | 2014 |
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 | 56 | 2017 |
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 | 52 | 2020 |
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 | 51 | 2019 |
Meshfree and Particle Methods: Fundamentals and Applications T Belytschko, JS Chen, M Hillman Wiley, 2023 | 45 | 2023 |
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 | 43 | 2016 |
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 | 43 | 2015 |
Variationally consistent domain integration for isogeometric analysis M Hillman, JS Chen, Y Bazilevs Computer Methods in Applied Mechanics and Engineering 284, 521-540, 2015 | 42 | 2015 |
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 | 31 | 2016 |
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 | 22 | 2017 |
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 | 21 | 2013 |
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 | 20 | 2021 |
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 | 19 | 2021 |
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 | 16 | 2018 |
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 | 15 | 2021 |
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 | 15 | 2021 |
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 | 14 | 2022 |