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Michael L. Parks
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PUBLICATIONS

Martin Maxey, Kyungjoo Kim, Mauro Perego, Michael L. Parks, Kai Yang, and Jinchao Xu, A scalable consistent second-order SPH solver for unsteady viscous flows, Computer Methods in Applied Mechanics and Engineering, To appear, 2014.

Amalie L. Frischknecht, Deaglan O. Halligan, and Michael L. Parks, Electrical double layers and differential capacitance in molten salts from density functional theory, The Journal of Chemical Physics, 141(5), 054708, 2014.

Pablo Seleson, Michael L. Parks, and Max Gunzburger, Peridynamic state-based models and the embedded-atom model, Communications in Computational Physics, 15(1), pp. 179-205, 2014.

Pablo Seleson, Max Gunzburger, and Michael L. Parks, Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains, Computer Methods in Applied Mechanics and Engineering, 266, pp. 185-204, 2013.

Laura J. Douglas Frink, Amalie L. Frischknecht, Michael A. Heroux, Michael L. Parks, and Andrew G Salinger, Towards Quantitative Coarse-Grained Models of Lipids with Fluids Density Functional Theory, Journal of Chemical Theory and Computation, 8(4), pp. 1393-1408, 2012.

Qiang Du, James R. Kamm, Richard B. Lehoucq, and Michael L. Parks, A New Approach for a Nonlocal, Nonlinear Conservation Law, SIAM Journal on Applied Mathematics, 72(1), pp. 464-487, 2012.

Pablo Seleson and Michael L. Parks, On the Role of the Influence Function in the Peridynamic Theory, International Journal for Multiscale Computational Engineering, 9(6), pp. 689-706, 2011.

Burak Aksoylu and Michael L. Parks, Variational Theory and Domain Decomposition for Nonlocal Problems, Applied Mathematics and Computation, 217, pp. 6498-6515, 2011.

Pablo Seleson, Michael L. Parks, Max Gunzburger, and Richard B. Lehoucq, Peridynamics as an Upscaling of Molecular Dynamics, Multiscale Modeling and Simulation, 8(1), pp. 204-227, 2009.

Michael L. Parks, Richard B. Lehoucq, Steven J. Plimpton, and Stewart A. Silling, Implementing Peridynamics within a Molecular Dynamics Code, Computer Physics Communications, 179(11), pp. 777-783, 2008.

Gregory J. Wagner, Reese E. Jones, Jeremy A. Templeton, and Michael L. Parks, An Atomistic-to-Continuum Coupling Method for Heat Transfer in Solids, Computer Methods in Applied Mechanics and Engineering, 197, pp. 3351-3365, 2008.

Michael L. Parks, Pavel B. Bochev, and Richard B. Lehoucq, Connecting Atomistic-to-Continuum Coupling and Domain Decomposition, Multiscale Modeling and Simulation, 7, pp. 362-380, 2008.

Santiago Badia, Michael L. Parks, Pavel B. Bochev, Max Gunzburger, and Richard B. Lehoucq, On Atomistic-to-Continuum Coupling by Blending, Multiscale Modeling and Simulation, 7, pp. 381-406, 2008.

Santiago Badia, Pavel. B. Bochev, Jacob Fish, Max D. Gunzburger, Richard B. Lehoucq, Mohan. A. Nuggehally, Michael. L. Parks, A Force-Based Blending Model for Atomistic-to-Continuum Coupling, International Journal for Multiscale Computational Engineering, 5, pp. 387-406, 2007.

Jacob Fish, Mohan A. Nuggehally, Mark S. Shephard, Catalin R. Picu, Santiago Badia, Michael L. Parks, and Max Gunzburger, Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force, Computer Methods in Applied Mechanics and Engineering, 196, pp. 4548-4560, 2007.

Michael L. Parks, Louis A. Romero, and Pavel B. Bochev, A Novel Lagrange-Multiplier Based Method for Consistent Mesh Tying, Computer Methods in Applied Mechanics and Engineering, 196, pp. 3335-3347, 2007.

Michael L. Parks, Louis A. Romero, Taylor-Aris Dispersion in High Aspect Ratio Columns of Nearly Rectangular Cross-Section, Mathematical and Computer Modelling, 46, pp. 699-717, 2007.

Michael L. Parks, Eric de Sturler, Greg Mackey, Duane Johnson, and Spandan Maiti, Recycling Krylov Subspaces for Sequences of Linear Systems, SIAM Journal on Scientific Computing, 28(5), pp. 1651-1674, 2006. Also available as University of Illinois Department of Computer Science Technical Report UIUCDCS-R-2004-2421.

Santiago Badia, Pavel B. Bochev, Max Gunzburger, Richard B. Lehoucq, Michael L. Parks, Bridging Methods for Coupling Atomistic and Continuum Models, in Large-Scale Scientific Computing 6th International Conference, Sozopol, Bulgaria, June 5-9, 2007, I. Lirkov, S. Margenov, and J. Wasniewski, eds., vol. 4818 of Lecture Notes in Computer Science, pp. 16-27, 2009.

E. Askari, Florin Bobaru, Richard B. Lehoucq, Michael L. Parks, Stewart A. Silling, and Olaf Weckner, Peridynamics for multiscale materials modeling, in SciDAC 2008, Seattle, Washington, July 13-17, 2008, vol. 125 of Journal of Physics: Conference Series, (012078) 2008.

Pavel Bochev, Richard Lehoucq, Michael Parks, Santiago Badia, and Max Gunzburger, Blending methods for coupling atomistic and continuum models, in Multiscale Methods: Bridging the Scales in Science and Engineering, ed. by Jacob Fish, Oxford University Press, pp. 165-191, 2009.

K. Ahuja, M. L. Parks, E. T. Phipps, A. G. Salinger, and E. de Sturler, Krylov Recycling for Climate Modeling and Uncertainty Quantification, in CSRI Summer Proceedings 2010, E. C. Cyr and S. S. Collis, eds., Sandia National Laboratories, 2010, pp. 103-111. Available as Sandia National Laboratories Technical Report SAND2010-8783P.

K. Ahuja, M. L. Parks, E. T. Phipps, A. G. Salinger, and E. De Sturler, Krylov Recycling for Climate Modeling and Uncertainty Quanti cation, in CSRI Summer Proceedings 2010, E. C. Cyr and S. S. Collis, eds., Sandia National Laboratories, 2010, pp. 103-111. Available as Sandia National Laboratories Technical Report SAND2010-8783P.

Michael L. Parks, Pablo Seleson, Steven J. Plimpton, Richard B. Lehoucq, and Stewart A. Silling, Peridynamics with LAMMPS: A User Guide, Technical Report SAND2010-5549, Sandia National Laboratories, August 2010.

Pablo Seleson, Michael L. Parks, and Max Gunzburger, Peridynamics as an upscaling of Molecular Dynamics, in CSRI Summer Proceedings, D. Ridzal and S. S. Collis, eds., Sandia National Laboratories, 2008, pp. 177-184. Available as Sandia National Laboratories Technical Report SAND2008-8257P.

Pavel B. Bochev, S. Scott Collis, Reese E. Jones, Richard B. Lehoucq, Michael L. Parks, Guglielmo Scovazzi, Stewart A. Silling, Jeremy A. Templeton, and Gregory J. Wagner, A Mathematical Framework for Multiscale Science and Engineering: the Variational Multiscale Method and Interscale Transfer Operators, Technical Report SAND2007-0905, Sandia National Laboratories, October 2007.

Santiago Badia, Pavel Bochev, Max Gunzburger, Richard Lehoucq, Michael L. Parks, Blended Atomistic-to-Continuum coupling analyses and methods, Technical Report SAND2007-0905, Sandia National Laboratories, February 2007.

E. B. Vanderzee, M. L. Parks, and P. Knupp, Numerical experiments for local quasicontinuum analysis, in NECIS Summer Proceedings, S. S. Collis, J. Lee, and J. Zimmerman, eds., Sandia National Laboratories, 2006, pp. 194-202. Available as Sandia National Laboratories Technical Report SAND2006-6564.

Michael L. Parks, Louis A. Romero, and Joshua Whiting, A Reduced Order Model for the Study of Asymmetries in Linear Gas Chromatography for Homogeneous Tubular Columns, Technical Report SAND2005-4868, Sandia National Laboratories, August 2005.

Michael L. Parks, The Iterative Solution of a Sequence of Linear Systems Arising from Nonlinear Finite Element Analysis, Ph.D. Dissertation, University of Illinois at Urbana-Champaign, 2005. Available as University of Illinois Technical Report UIUCDCS-R-2005-2497.

Michael L. Parks, Efficient Numeric Computation of a Phase Diagram in Biased Diffusion of Two Species, Master's Thesis, Virginia Polytechnic Institute and State University (Virginia Tech), 2000. Available as Virginia Tech Electronic Thesis etd-05172000-14430029.

Michael L. Parks and S. Scott Collis, editors, CSRI Summer Proceedings 2007, The Computer Science Research Institute at Sandia National Laboratories, Albuquerque, NM, 2007

Michael L. Parks, Richard B. Lehoucq, Researchers Discuss Atomistic-to-Continuum (AtC) Coupling, SIAM News, Vol. 39, No. 7 (September 2006).

Michael L. Parks and Eric de Sturler, Analysis of Krylov Subspace Recycling for Sequences of Linear Systems.

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Michael L. Parks


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