Journal Articles

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), p. 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.

• Most downloaded Multiscale Modeling and Simulation: May 2008 (4), October 2008 (9), January 2009 (9).

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.

• Most downloaded Multiscale Modeling and Simulation: May 2008 (3).

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,

• Most downloaded SIAM Journal on Scientific Computing: October 2006 (2), November 2006 (1), December 2006 (7).

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.

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, 2007.

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.

Michael L. Parks, Pablo Seleson, Steven J. Plimpton, Richard B.Lehoucq, and Stewart A. Silling, Peridynamics with LAMMPS: A User Guide, Technical Report SAND2008-0135 Sandia National Laboratories, January 2008.

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.

Mesoscale Simulations with Microscale Tools: Peridynamics in a Molecular Dynamics Code, The 2009 Joint ASCE-ASME-SES Conference on Mechanics and Materials, Virginia Tech, Blacksburg, VA., June 27, 2009.

Towards Multiscale Materials Modeling With Peridynamics, Center for Computation and Technology, Louisiana State University, Baton Rouge, LA., Nov. 14, 2008.

Molecular dynamics at larger scales: Peridynamics as an upscaling of molecular dynamics, Fourth International Conference on Multiscale Materials Modeling, Tallahassee, FL., October 27-31, 2008.

Mesoscale Simulations with Microscale Tools: Peridynamics in a Molecular Dynamics Code, SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, PA., May 11-14, 2008.

The Fast Solution of Sequences of Linear Systems via Subspace Recycling, School of Computational Science, Florida State University, Tallahassee, FL., Oct. 13, 2007.

Analysis of Krylov-subspace recycling for sequences of linear systems, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 17, 2007.

Connecting Domain Decomposition and Atomistic-to-Continuum (AtC) Coupling, Oak Ridge National Laboratories, Oak Ridge, TN., May 1-2, 2007.

Connections Between Domain Decomposition and Atomistic-to-Continuum (AtC) Coupling, Department of Mathematics, Virginia Tech, Blacksburg, VA., Oct. 4-6, 2006.

Relating Atomistic-to-Continuum Coupling and Domain Decomposition, 7th World Congress on Computational Mechanics, Los Angeles, CA., July 16-22, 2006.

Fast Solution of Long Sequences of Linear Systems in Computational Mechanics, 7th World Congress on Computational Mechanics, Los Angeles, CA., July 16-22, 2006. (Filled in for Eric de Sturler, who was unable to attend.)

Analysis of Krylov Subspace Recycling for Sequences of Linear Systems, SIAM Conference of Computational Science and Engineering, Orlando, FL., February 12-15, 2005.

Recycling Krylov Subspaces for Sequences of Linear Systems, Annual Computational Science and Engineering Research Symposium, University of Illinois at Urbana-Champaign, April 27, 2004.

Robust Preconditioners and Solvers for Ill-Conditioned Equations from Nonlinear Finite Element Analysis, Annual Computational Science and Engineering Research Symposium, University of Illinois at Urbana-Champaign, April 25, 2003.

Peridynamics for multiscale materials modeling, Applied Mathematics Principal Investigators Meeting, Argonne National Laboratory, Argonne, IL., October 15, 2008.

Relating atomistic-to-continuum coupling and domain decomposition, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 20, 2007.

The Fast Solution of Sequences of Linear Systems via Subspace Recycling, Seventh Biennial Tri-Laboratory Engineering Conference, Albuquerque, NM., May 7-10, 2007.

Analysis of Krylov Subspace Recycling for Sequences of Linear Systems, 7th IMACS International Symposium on Iterative Methods in Scientific Computing, Toronto, Canana, May 5-6, 2005.

Recycling Krylov Subspaces for Sequences of Linear Systems, Midwest Numerical Analysis Day, University of Wisconsin-Milwaukee, April 24, 2004.

Improved Krylov Methods and A Framework for the Analysis of Preconditioners for Ill-Conditioned Equations Arising from Nonlinear Finite Element Analysis, 2003 International Conference On Preconditioning Techniques For Large Sparse Matrix Problems In Scientific And Industrial Applications, Napa, CA., October 27-29, 2003.

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