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Mitchell Luskin
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2020 – today
- 2024
- [j31]Tianyu Kong
, Diyi Liu, Mitchell Luskin
Modeling of Electronic Dynamics in Twisted Bilayer Graphene. SIAM J. Appl. Math. 84(3): 1011-1038 (2024) - 2023
- [j30]Daniel Massatt
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space. Multiscale Model. Simul. 21(4): 1344-1378 (2023) - [i5]Tianyu Kong, Diyi Liu, Mitchell Luskin, Alexander B. Watson
Modeling of electronic dynamics in twisted bilayer graphene. CoRR abs/2308.10430 (2023) - 2021
- [i4]Daniel Massatt, Stephen Carr, Mitchell Luskin:
Electronic Observables for Relaxed Bilayer 2D Heterostructures in Momentum Space. CoRR abs/2109.15296 (2021) - 2020
- [j29]Jung Heon Song, Matthias Maier
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. J. Comput. Phys. 423: 109871 (2020) - [j28]Simon Etter, Daniel Massatt, Mitchell Luskin
Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate Bilayers. Multiscale Model. Simul. 18(4): 1525-1564 (2020) - [i3]Jung Heon Song, Matthias Maier, Mitchell Luskin:
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. CoRR abs/2003.06531 (2020)
2010 – 2019
- 2019
- [j27]Brian Van Koten
Stability and Convergence of the String Method for Computing Minimum Energy Paths. Multiscale Model. Simul. 17(2): 873-898 (2019) - [i2]Simon Etter
Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers. CoRR abs/1907.01314 (2019) - [i1]Daniel Massatt, Stephen Carr, Mitchell Luskin:
Efficient Computation of Kubo Conductivity for Incommensurate 2D Heterostructures. CoRR abs/1910.11441 (2019) - 2018
- [j26]Daniel Massatt, Stephen Carr
Incommensurate Heterostructures in Momentum Space. Multiscale Model. Simul. 16(1): 429-451 (2018) - 2017
- [j25]Matthias Maier, Dionisios Margetis, Mitchell Luskin:
Dipole excitation of surface plasmon on a conducting sheet: Finite element approximation and validation. J. Comput. Phys. 339: 126-145 (2017) - [j24]Paul Cazeaux
Analysis of Rippling in Incommensurate One-Dimensional Coupled Chains. Multiscale Model. Simul. 15(1): 56-73 (2017) - [j23]Daniel Massatt, Mitchell Luskin, Christoph Ortner
Electronic Density of States for Incommensurate Layers. Multiscale Model. Simul. 15(1): 476-499 (2017) - [j22]Andrew Binder, Mitchell Luskin, Christoph Ortner
Analysis of a Predictor-Corrector Method for Computationally Efficient Modeling of Surface Effects in 1D. Multiscale Model. Simul. 15(2): 892-919 (2017) - [j21]Alexander V. Shapeev, Mitchell Luskin:
Approximation of Crystalline Defects at Finite Temperature. Multiscale Model. Simul. 15(4): 1830-1864 (2017) - 2016
- [j20]Gideon Simpson
A Theoretical Examination of Diffusive Molecular Dynamics. SIAM J. Appl. Math. 76(6): 2175-2195 (2016) - 2015
- [j19]Andrew Binder, Mitchell Luskin, Danny Perez, Arthur F. Voter:
Analysis of Transition State Theory Rates upon Spatial Coarse-Graining. Multiscale Model. Simul. 13(3): 890-915 (2015) - 2014
- [j18]Derek Olson, Pavel B. Bochev, Mitchell Luskin, Alexander V. Shapeev:
An Optimization-based Atomistic-to-Continuum Coupling Method. SIAM J. Numer. Anal. 52(4): 2183-2204 (2014) - 2013
- [j17]Mitchell Luskin, Christoph Ortner
Atomistic-to-continuum coupling. Acta Numer. 22: 397-508 (2013) - [c1]Derek Olson, Pavel B. Bochev, Mitchell Luskin, Alexander V. Shapeev:
Development of an Optimization-Based Atomistic-to-Continuum Coupling Method. LSSC 2013: 33-44 - 2012
- [j16]Claude Le Bris, Tony Lelièvre
A mathematical formalization of the parallel replica dynamics. Monte Carlo Methods Appl. 18(2): 119-146 (2012) - [j15]Xingjie Helen Li, Mitchell Luskin, Christoph Ortner
Positive Definiteness of the Blended Force-Based Quasicontinuum Method. Multiscale Model. Simul. 10(3): 1023-1045 (2012) - 2011
- [j14]Pavel Belík
Analysis of the Quasi-Nonlocal Approximation of Linear and Circular Chains in the Plane. Multiscale Model. Simul. 9(4): 1495-1527 (2011) - [j13]Brian Van Koten
Analysis of Energy-Based Blended Quasi-Continuum Approximations. SIAM J. Numer. Anal. 49(5): 2182-2209 (2011) - 2010
- [j12]Matthew Dobson, Mitchell Luskin, Christoph Ortner
Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation. Multiscale Model. Simul. 8(3): 782-802 (2010)
2000 – 2009
- 2009
- [j11]Matthew Dobson, Mitchell Luskin:
An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation. SIAM J. Numer. Anal. 47(4): 2455-2475 (2009) - [j10]Mitchell Luskin, Christoph Ortner
An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method. SIAM J. Numer. Anal. 47(4): 3070-3086 (2009) - 2008
- [j9]Matthew Dobson, Mitchell Luskin:
Iterative Solution of the Quasicontinuum Equilibrium Equations with Continuation. J. Sci. Comput. 37(1): 19-41 (2008) - [j8]Marcel Arndt, Mitchell Luskin:
Error Estimation and Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation of a Frenkel-Kontorova Model. Multiscale Model. Simul. 7(1): 147-170 (2008) - 2006
- [j7]Pavel Belík
The Gamma-Convergence of a Sharp Interface Thin Film Model with Nonconvex Elastic Energy. SIAM J. Math. Anal. 38(2): 414-433 (2006) - 2005
- [j6]Pavel Belík
Computational Modeling of Softening in a Structural Phase Transformation. Multiscale Model. Simul. 3(4): 764-781 (2005) - [j5]Piotr Rybka
Existence of Energy Minimizers for Magnetostrictive Materials. SIAM J. Math. Anal. 36(6): 2004-2019 (2005) - 2003
- [j4]Martin Kruzík
The Computation of Martensitic Microstructure with Piecewise Laminates. J. Sci. Comput. 19(1-3): 293-308 (2003) - [j3]Bernardo Cockburn
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Math. Comput. 72(242): 577-606 (2003)
1990 – 1999
- 1998
- [j2]Bo Li, Mitchell Luskin:
Nonconforming finite element approximation of crystalline microstructure. Math. Comput. 67(223): 917-946 (1998) - 1996
- [j1]Petr Kloucek, Bo Li, Mitchell Luskin:
Analysis of a class of nonconforming finite elements for crystalline microstructures. Math. Comput. 65(215): 1111-1135 (1996)
Coauthor Index
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