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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
5042006
Implementing peridynamics within a molecular dynamics code
ML Parks, RB Lehoucq, SJ Plimpton, SA Silling
Computer Physics Communications 179 (11), 777-783, 2008
3722008
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
3392008
Peridynamics as an upscaling of molecular dynamics
P Seleson, ML Parks, M Gunzburger, RB Lehoucq
Multiscale Modeling & Simulation 8 (1), 204-227, 2009
2272009
On the role of the influence function in the peridynamic theory
P Seleson, M Parks
International Journal for Multiscale Computational Engineering 9 (6), 2011
2012011
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
1742007
Peridigm users' guide. V1. 0.0.
ML Parks, DJ Littlewood, JA Mitchell, SA Silling
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA …, 2012
1702012
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
1672020
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
1662016
Variational theory and domain decomposition for nonlocal problems
B Aksoylu, ML Parks
Applied Mathematics and Computation 217 (14), 6498-6515, 2011
1542011
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
1262008
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
1192013
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
1012011
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
1012007
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
972012
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
912019
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
842017
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
822008
Connecting atomistic-to-continuum coupling and domain decomposition
ML Parks, PB Bochev, RB Lehoucq
Multiscale Modeling & Simulation 7 (1), 362-380, 2008
732008
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
662008
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