Mitchell Luskin - researchr alias

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Viewing Publication 1 - 32 from 32

2024

Modeling of Electronic Dynamics in Twisted Bilayer GrapheneTianyu Kong, Diyi Liu, Mitchell Luskin, Alexander B. Watson. siamam, 84(3):1011-1038, 2024. [doi]

2023

Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum SpaceDaniel Massatt, Stephen Carr, Mitchell Luskin. mmas, 21(4):1344-1378, December 2023. [doi]

2020

Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate BilayersSimon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner. mmas, 18(4):1525-1564, 2020. [doi]

Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguidesJung Heon Song, Matthias Maier, Mitchell Luskin. jcphy, 423:109871, 2020. [doi]

2019

Stability and Convergence of the String Method for Computing Minimum Energy PathsBrian Van Koten, Mitchell Luskin. mmas, 17(2):873-898, 2019. [doi]

2018

Incommensurate Heterostructures in Momentum SpaceDaniel Massatt, Stephen Carr, Mitchell Luskin, Christoph Ortner. mmas, 16(1):429-451, 2018. [doi]

2017

2016

A Theoretical Examination of Diffusive Molecular DynamicsG. Simpson, Mitchell Luskin, David J. Srolovitz. siamam, 76(6):2175-2195, 2016. [doi]

2015

Analysis of Transition State Theory Rates upon Spatial Coarse-GrainingAndrew Binder, Mitchell Luskin, Danny Perez, Arthur F. Voter. mmas, 13(3):890-915, 2015. [doi]

2014

An Optimization-based Atomistic-to-Continuum Coupling MethodDerek Olson, Pavel B. Bochev, Mitchell Luskin, Alexander V. Shapeev. siamnum, 52(4):2183-2204, 2014. [doi]

2013

Atomistic-to-continuum couplingMitchell Luskin, Christoph Ortner. actanum, 22:397-508, 2013. [doi]

Development of an Optimization-Based Atomistic-to-Continuum Coupling MethodDerek Olson, Pavel B. Bochev, Mitchell Luskin, Alexander V. Shapeev. lssc 2014: 33-44 [doi]

2012

A mathematical formalization of the parallel replica dynamicsClaude Le Bris, Tony Lelièvre, Mitchell Luskin, Danny Perez. mcma, 18(2):119-146, 2012. [doi]

Positive Definiteness of the Blended Force-Based Quasicontinuum MethodXingjie Helen Li, Mitchell Luskin, Christoph Ortner. mmas, 10(3):1023-1045, 2012. [doi]

2011

Analysis of the Quasi-Nonlocal Approximation of Linear and Circular Chains in the PlanePavel Belík, Mitchell Luskin. mmas, 9(4):1495-1527, 2011. [doi]

Analysis of Energy-Based Blended Quasi-Continuum ApproximationsBrian Van Koten, Mitchell Luskin. siamnum, 49(5):2182-2209, 2011. [doi]

2010

Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile DeformationMatthew Dobson, Mitchell Luskin, Christoph Ortner. mmas, 8(3):782-802, 2010. [doi]

2009

An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum ApproximationMatthew Dobson, Mitchell Luskin. siamnum, 47(4):2455-2475, 2009. [doi]

An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum MethodMitchell Luskin, Christoph Ortner. siamnum, 47(4):3070-3086, 2009. [doi]

2008

Error Estimation and Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation of a Frenkel-Kontorova ModelMarcel Arndt, Mitchell Luskin. mmas, 7(1):147-170, 2008. [doi]

Iterative Solution of the Quasicontinuum Equilibrium Equations with ContinuationMatthew Dobson, Mitchell Luskin. jscic, 37(1):19-41, 2008. [doi]

2006

The Gamma-Convergence of a Sharp Interface Thin Film Model with Nonconvex Elastic EnergyPavel Belík, Mitchell Luskin. siamma, 38(2):414-433, 2006. [doi]

2005

Computational Modeling of Softening in a Structural Phase TransformationPavel Belík, Mitchell Luskin. mmas, 3(4):764-781, 2005. [doi]

Existence of Energy Minimizers for Magnetostrictive MaterialsPiotr Rybka, Mitchell Luskin. siamma, 36(6):2004-2019, 2005. [doi]

2003

Enhanced accuracy by post-processing for finite element methods for hyperbolic equationsBernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli. moc, 72(242):577-606, 2003.

The Computation of Martensitic Microstructure with Piecewise LaminatesMartin Kruzík, Mitchell Luskin. jscic, 19(1-3):293-308, 2003. [doi]

1998

Nonconforming finite element approximation of crystalline microstructureBo Li, Mitchell Luskin. moc, 67(223):917-946, 1998.

1996

Analysis of a class of nonconforming finite elements for crystalline microstructuresPetr Kloucek, Bo Li, Mitchell Luskin. moc, 65(215):1111-1135, 1996.

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