Michael L. Parks
Michael L. Parks
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Recycling Krylov subspaces for sequences of linear systems
ML Parks, E De Sturler, G Mackey, DD Johnson, S Maiti
SIAM Journal on Scientific Computing 28 (5), 1651-1674, 2006
Implementing peridynamics within a molecular dynamics code
ML Parks, RB Lehoucq, SJ Plimpton, SA Silling
Computer Physics Communications 179 (11), 777-783, 2008
Peridynamics for multiscale materials modeling
E Askari, F Bobaru, RB Lehoucq, ML Parks, SA Silling, O Weckner
Journal of Physics: Conference Series 125 (1), 012078, 2008
Peridynamics as an upscaling of molecular dynamics
P Seleson, ML Parks, M Gunzburger, RB Lehoucq
Multiscale Modeling & Simulation 8 (1), 204-227, 2009
On the role of the influence function in the peridynamic theory
P Seleson, M Parks
International Journal for Multiscale Computational Engineering 9 (6), 2011
Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force
J Fish, MA Nuggehally, MS Shephard, CR Picu, S Badia, ML Parks, ...
Computer methods in applied mechanics and engineering 196 (45-48), 4548-4560, 2007
Peridigm users' guide. V1. 0.0.
ML Parks, DJ Littlewood, JA Mitchell, SA Silling
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA …, 2012
Variational theory and domain decomposition for nonlocal problems
B Aksoylu, ML Parks
Applied Mathematics and Computation 217 (14), 6498-6515, 2011
Intercomparison of 3D pore-scale flow and solute transport simulation methods
X Yang, Y Mehmani, WA Perkins, A Pasquali, M Schönherr, K Kim, ...
Advances in water resources 95, 176-189, 2016
On atomistic-to-continuum coupling by blending
S Badia, M Parks, P Bochev, M Gunzburger, R Lehoucq
Multiscale Modeling & Simulation 7 (1), 381-406, 2008
nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications
G Pang, M D'Elia, M Parks, GE Karniadakis
Journal of Computational Physics 422, 109760, 2020
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
P Seleson, M Gunzburger, ML Parks
Computer Methods in Applied Mechanics and Engineering 266, 185-204, 2013
A force-based blending model for atomistic-to-continuum coupling
S Badia, P Bochev, R Lehoucq, M Parks, J Fish, MA Nuggehally, ...
International Journal for Multiscale Computational Engineering 5 (5), 4548-4560, 2007
Peridynamics with lammps: a user guide, v0. 3 beta
ML Parks, P Seleson, SJ Plimpton, SA Silling, RB Lehoucq
Sandia Report (2011–8253) 3532, 2011
A new approach for a nonlocal, nonlinear conservation law
Q Du, JR Kamm, RB Lehoucq, ML Parks
SIAM Journal on Applied Mathematics 72 (1), 464-487, 2012
An atomistic-to-continuum coupling method for heat transfer in solids
GJ Wagner, RE Jones, JA Templeton, ML Parks
Computer Methods in Applied Mechanics and Engineering 197 (41-42), 3351-3365, 2008
An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics
N Trask, H You, Y Yu, ML Parks
Computer Methods in Applied Mechanics and Engineering 343, 151-165, 2019
Connecting atomistic-to-continuum coupling and domain decomposition
ML Parks, PB Bochev, RB Lehoucq
Multiscale Modeling & Simulation 7 (1), 362-380, 2008
Modeling shockwaves and impact phenomena with Eulerian peridynamics
SA Silling, ML Parks, JR Kamm, O Weckner, M Rassaian
International Journal of Impact Engineering 107, 47-57, 2017
Peridynamics with LAMMPS: A user guide
ML Parks, P Seleson, SJ Plimpton, RB Lehoucq, SA Silling
Sandia National Laboratory Report, SAND2008-0135, Albuquerque, New Mexico, 2008
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