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Parks, Michael L.

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Author ID: parks.michael-l Recent zbMATH articles by "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

Publications by Year

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 1123.65022
Parks, 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 1173.74303
Fish, 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 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
37
2009
Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014
Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A.
37
2008
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
34
2008
Variational theory and domain decomposition for nonlocal problems. Zbl 1214.65062
Aksoylu, Burak; Parks, Michael L.
31
2011
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010
Seleson, Pablo; Gunzburger, Max; Parks, Michael L.
22
2013
A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L.
22
2012
Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B.
18
2008
Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max
13
2014
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372
Trask, 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 1159.74305
Wagner, G. J.; Jones, R. E.; Templeton, J. A.; Parks, M. L.
7
2008
Modeling electrokinetic flows by consistent implicit incompressible smoothed particle hydrodynamics. Zbl 1375.76149
Pan, Wenxiao; Kim, Kyungjoo; Perego, Mauro; Tartakovsky, Alexandre M.; Parks, Michael L.
5
2017
A novel Lagrange-multiplier based method for consistent mesh tying. Zbl 1173.65362
Parks, M. L.; Romero, L.; Bochev, P.
4
2007
An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics. Zbl 1440.74463
Trask, Nathaniel; You, Huaiqian; Yu, Yue; Parks, Michael L.
3
2019
A partitioned coupling framework for peridynamics and classical theory: analysis and simulations. Zbl 1440.74045
Yu, 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 1439.74044
Seleson, Pablo; Du, Qiang; Parks, Michael L.
3
2016
Blending methods for coupling atomistic and continuum models. Zbl 1432.74001
Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M.
2
2010
Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034
Badia, 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 1440.74463
Trask, Nathaniel; You, Huaiqian; Yu, Yue; Parks, Michael L.
3
2019
A partitioned coupling framework for peridynamics and classical theory: analysis and simulations. Zbl 1440.74045
Yu, 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 1375.76149
Pan, 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 1439.74044
Seleson, Pablo; Du, Qiang; Parks, Michael L.
3
2016
A scalable consistent second-order SPH solver for unsteady low Reynolds number flows. Zbl 1423.76372
Trask, 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 1373.82029
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max
13
2014
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010
Seleson, Pablo; Gunzburger, Max; Parks, Michael L.
22
2013
A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L.
22
2012
Variational theory and domain decomposition for nonlocal problems. Zbl 1214.65062
Aksoylu, Burak; Parks, Michael L.
31
2011
Blending methods for coupling atomistic and continuum models. Zbl 1432.74001
Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M.
2
2010
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
37
2009
Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014
Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A.
37
2008
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
34
2008
Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B.
18
2008
An atomistic-to-continuum coupling method for heat transfer in solids. Zbl 1159.74305
Wagner, G. J.; Jones, R. E.; Templeton, J. A.; Parks, M. L.
7
2008
Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034
Badia, 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 1173.74303
Fish, 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 1173.65362
Parks, M. L.; Romero, L.; Bochev, P.
4
2007
Recycling Krylov subspaces for sequences of linear systems. Zbl 1123.65022
Parks, Michael L.; De Sturler, Eric; Mackey, Greg; Johnson, Duane D.; Maiti, Spandan
73
2006
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
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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

Citations by Year

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