Edit Profile Parks, Michael L. Compute Distance To: Compute Author ID: parks.michael-l Published as: Parks, M.; Parks, M. L.; Parks, Michael; Parks, Michael L. External Links: MGP · Wikidata Documents Indexed: 22 Publications since 2000 all top 5 Co-Authors 0 single-authored 7 Gunzburger, Max D. 7 Lehoucq, Richard B. 5 Bochev, Pavel B. 4 Badia, Santiago 4 Seleson, Pablo 2 Du, Qiang 2 Kim, Kyungjoo 2 Perego, Mauro 2 Romero, Louis A. 2 Trask, Nathaniel 2 You, Huaiqian 2 Yu, Yue 1 Aksoylu, Burak 1 Bargos, Fabiano F. 1 Bittencourt, Marco Lúcio 1 de Sturler, Eric 1 Fish, Jacob 1 Johnson, Duane D. 1 Kamm, James R. 1 Karniadakis, George Em 1 Mackey, Greg 1 Maiti, Spandan 1 Maxey, Martin R. 1 Nuggehally, Mohan A. 1 Pan, Wenxiao 1 Picu, Catalin R. 1 Plimpton, Steven J. 1 Shephard, Mark S. 1 Silling, Stewart A. 1 Tartakovsky, Alexandre M. 1 Xu, Jinchao 1 Yang, Kai all top 5 Serials 7 Computer Methods in Applied Mechanics and Engineering 3 Multiscale Modeling & Simulation 1 Computer Physics Communications 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 Mathematical and Computer Modelling 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Communications in Computational Physics all top 5 Fields 10 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 7 Mechanics of deformable solids (74-XX) 4 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 19 Publications have been cited 365 times in 276 Documents Cited by ▼ Year ▼ Recycling Krylov subspaces for sequences of linear systems. Zbl 1123.65022Parks, Michael L.; De Sturler, Eric; Mackey, Greg; Johnson, Duane D.; Maiti, Spandan 73 2006 Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force. Zbl 1173.74303Fish, Jacob; Nuggehally, Mohan A.; Shephard, Mark S.; Picu, Catalin R.; Badia, Santiago; Parks, Michael L.; Gunzburger, Max 38 2007 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 37 2009 Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A. 37 2008 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 34 2008 Variational theory and domain decomposition for nonlocal problems. Zbl 1214.65062Aksoylu, Burak; Parks, Michael L. 31 2011 Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010Seleson, Pablo; Gunzburger, Max; Parks, Michael L. 22 2013 A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L. 22 2012 Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B. 18 2008 Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029Seleson, Pablo; Parks, Michael L.; Gunzburger, Max 13 2014 A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372Trask, Nathaniel; Maxey, Martin; Kim, Kyungjoo; Perego, Mauro; Parks, Michael L.; Yang, Kai; Xu, Jinchao 12 2015 An atomistic-to-continuum coupling method for heat transfer in solids. Zbl 1159.74305Wagner, G. J.; Jones, R. E.; Templeton, J. A.; Parks, M. L. 7 2008 Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics. Zbl 1375.76149Pan, Wenxiao; Kim, Kyungjoo; Perego, Mauro; Tartakovsky, Alexandre M.; Parks, Michael L. 5 2017 A novel Lagrange-multiplier based method for consistent mesh tying. Zbl 1173.65362Parks, M. L.; Romero, L.; Bochev, P. 4 2007 An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics. Zbl 1440.74463Trask, Nathaniel; You, Huaiqian; Yu, Yue; Parks, Michael L. 3 2019 A partitioned coupling framework for peridynamics and classical theory: analysis and simulations. Zbl 1440.74045Yu, Yue; Bargos, Fabiano F.; You, Huaiqian; Parks, Michael L.; Bittencourt, Marco L.; Karniadakis, George E. 3 2018 On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models. Zbl 1439.74044Seleson, Pablo; Du, Qiang; Parks, Michael L. 3 2016 Blending methods for coupling atomistic and continuum models. Zbl 1432.74001Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M. 2 2010 Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael 1 2008 An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics. Zbl 1440.74463Trask, Nathaniel; You, Huaiqian; Yu, Yue; Parks, Michael L. 3 2019 A partitioned coupling framework for peridynamics and classical theory: analysis and simulations. Zbl 1440.74045Yu, Yue; Bargos, Fabiano F.; You, Huaiqian; Parks, Michael L.; Bittencourt, Marco L.; Karniadakis, George E. 3 2018 Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics. Zbl 1375.76149Pan, Wenxiao; Kim, Kyungjoo; Perego, Mauro; Tartakovsky, Alexandre M.; Parks, Michael L. 5 2017 On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models. Zbl 1439.74044Seleson, Pablo; Du, Qiang; Parks, Michael L. 3 2016 A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372Trask, Nathaniel; Maxey, Martin; Kim, Kyungjoo; Perego, Mauro; Parks, Michael L.; Yang, Kai; Xu, Jinchao 12 2015 Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029Seleson, Pablo; Parks, Michael L.; Gunzburger, Max 13 2014 Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010Seleson, Pablo; Gunzburger, Max; Parks, Michael L. 22 2013 A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L. 22 2012 Variational theory and domain decomposition for nonlocal problems. Zbl 1214.65062Aksoylu, Burak; Parks, Michael L. 31 2011 Blending methods for coupling atomistic and continuum models. Zbl 1432.74001Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M. 2 2010 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 37 2009 Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A. 37 2008 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 34 2008 Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B. 18 2008 An atomistic-to-continuum coupling method for heat transfer in solids. Zbl 1159.74305Wagner, G. J.; Jones, R. E.; Templeton, J. A.; Parks, M. L. 7 2008 Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael 1 2008 Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force. Zbl 1173.74303Fish, Jacob; Nuggehally, Mohan A.; Shephard, Mark S.; Picu, Catalin R.; Badia, Santiago; Parks, Michael L.; Gunzburger, Max 38 2007 A novel Lagrange-multiplier based method for consistent mesh tying. Zbl 1173.65362Parks, M. L.; Romero, L.; Bochev, P. 4 2007 Recycling Krylov subspaces for sequences of linear systems. Zbl 1123.65022Parks, Michael L.; De Sturler, Eric; Mackey, Greg; Johnson, Duane D.; Maiti, Spandan 73 2006 all cited Publications top 5 cited Publications all top 5 Cited by 535 Authors 17 Du, Qiang 10 Gunzburger, Max D. 8 Luskin, Mitchell 8 Ortner, Christoph 7 Bochev, Pavel B. 7 Parks, Michael L. 6 Aksoylu, Burak 6 Tian, Xiaochuan 6 To, Albert C. 5 Biyikli, Emre 5 Chamoin, Ludovic 5 Foster, John T. jun. 5 Ju, Lili 5 Lehoucq, Richard B. 5 Morgan, Ronald B. 5 Pan, Wenxiao 5 Prudhomme, Serge 5 Rossi, Julio Daniel 5 Seleson, Pablo 5 Yang, Qingcheng 4 Belytschko, Ted Bohdan 4 Celiker, Fatih 4 D’Elia, Marta 4 Dhia, Hachmi Ben 4 Dobson, Matthew 4 Duintjer Tebbens, Jurjen 4 Fish, Jacob 4 Ignat, Liviu I. 4 Li, Xiantao 4 Littlewood, David J. 4 Oden, John Tinsley 4 Tian, Hao 4 Trask, Nathaniel 3 Anciaux, Guillaume 3 Bobaru, Florin 3 de Sturler, Eric 3 Gratton, Serge 3 Hong, Jung-Wuk 3 Hu, Wei 3 Hu, Xiaozhe 3 Kuberry, Paul Allen 3 Li, Xingjie Helen 3 Lipton, Robert P. 3 Liu, Wenyang 3 Mota, Alejandro 3 Negrut, Dan 3 San Antolín, Angel 3 Shapeev, Alexander V. 3 Tartakovsky, Alexandre M. 3 Timme, Sebastian 3 Tůma, Miroslav 3 Vankoten, Brian 3 Wang, Linjuan 3 Wilcox, Walter M. 3 You, Huaiqian 3 Yu, Yue 3 Zhang, Xiaobing 2 Ahuja, Kapil 2 Alleman, Coleman N. 2 Badia, Santiago 2 Bauman, Paul T. 2 Beex, Lars A. A. 2 Behdinan, Kamran 2 Benner, Peter 2 Berenguer, Laurent 2 Beyer, Horst Reinhard 2 Buryachenko, Valeriy A. 2 Charles, Jean-Luc 2 Dau, Frederic 2 Davydov, Denis 2 Fackeldey, Konstantin 2 Feng, Lihong 2 Geers, Marc G. D. 2 Gracie, Robert 2 Huang, Zhan 2 Iacobellis, Vincent 2 Ignat, Tatiana I. 2 Iordanoff, Ivan 2 Jebahi, Mohamed 2 Jha, Prashant K. 2 Katiyar, Amit 2 Li, Can 2 Makridakis, Charalambos G. 2 Mercier, Sylvain 2 Molinari, Jean-Francois 2 Mora-Corral, Carlos 2 Niu, Qiang 2 Olson, Derek 2 Ouchi, Hisanao 2 Paulino, Glaucio H. 2 Peerlings, Ron H. J. 2 Perego, Mauro 2 Peterson, Kara J. 2 Porcelli, Margherita 2 Radovitzky, Raúl A. 2 Radu, Petronela 2 Rakhsha, Milad 2 Ramisetti, S. B. 2 Rey, Christian A. 2 Rimoli, Julian J. ...and 435 more Authors all top 5 Cited in 73 Serials 60 Computer Methods in Applied Mechanics and Engineering 19 International Journal for Numerical Methods in Engineering 17 Journal of Computational Physics 14 Computational Mechanics 11 SIAM Journal on Scientific Computing 10 Journal of Computational and Applied Mathematics 7 Computers & Mathematics with Applications 7 SIAM Journal on Numerical Analysis 7 Journal of Elasticity 6 Computers and Fluids 6 Applied Numerical Mathematics 6 Numerical Linear Algebra with Applications 5 Mathematics and Mechanics of Solids 4 Journal of the Mechanics and Physics of Solids 4 Applied Mathematics and Computation 4 Journal of Scientific Computing 4 Multiscale Modeling & Simulation 3 Computer Physics Communications 3 Numerische Mathematik 3 Linear Algebra and its Applications 2 Archive for Rational Mechanics and Analysis 2 International Journal of Engineering Science 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Matrix Analysis and Applications 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Journal on Mathematical Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Computing and Visualization in Science 2 Lobachevskii Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Applicable Analysis 1 International Journal of Heat and Mass Transfer 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Physica A 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 BIT 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Discrete and Continuous Dynamical Systems 1 Optimization Methods & Software 1 Fractional Calculus & Applied Analysis 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Archives of Computational Methods in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Numerica 1 International Journal of Fracture 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Networks and Heterogeneous Media 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Science China. Mathematics 1 Science China. Technological Sciences 1 East Asian Journal on Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SN Partial Differential Equations and Applications all top 5 Cited in 30 Fields 140 Mechanics of deformable solids (74-XX) 138 Numerical analysis (65-XX) 52 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 29 Integral equations (45-XX) 29 Statistical mechanics, structure of matter (82-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functional analysis (46-XX) 8 Mechanics of particles and systems (70-XX) 8 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 7 Operator theory (47-XX) 5 Optics, electromagnetic theory (78-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.