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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
5052006
Implementing peridynamics within a molecular dynamics code
ML Parks, RB Lehoucq, SJ Plimpton, SA Silling
Computer Physics Communications 179 (11), 777-783, 2008
3732008
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
3402008
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
Peridigm users' guide. V1. 0.0.
ML Parks, DJ Littlewood, JA Mitchell, SA Silling
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA …, 2012
1742012
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
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
1682020
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
1552011
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
982012
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
932019
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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