Mitchell Luskin

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 17

Top Topics

Eigenvalue Problems

Efficient Computation

Top Venues

Multiscale Model. Simul.

J. Comput. Phys.

SIAM J. Appl. Math.

Publications

Tianyu Kong, Diyi Liu, Mitchell Luskin, Alexander B. Watson
Modeling of Electronic Dynamics in Twisted Bilayer Graphene. SIAM J. Appl. Math. 84 (3) (2024)
Tianyu Kong, Diyi Liu, Mitchell Luskin, Alexander B. Watson
Modeling of electronic dynamics in twisted bilayer graphene. CoRR (2023)
Daniel Massatt, Stephen Carr, Mitchell Luskin
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space. Multiscale Model. Simul. 21 (4) (2023)
Daniel Massatt, Stephen Carr, Mitchell Luskin
Electronic Observables for Relaxed Bilayer 2D Heterostructures in Momentum Space. CoRR (2021)
Jung Heon Song, Matthias Maier, Mitchell Luskin
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. CoRR (2020)
Jung Heon Song, Matthias Maier, Mitchell Luskin
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. J. Comput. Phys. 423 (2020)
Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner
Modeling and Computation of Kubo Conductivity for Two-Dimensional Incommensurate Bilayers. Multiscale Model. Simul. 18 (4) (2020)
Daniel Massatt, Stephen Carr, Mitchell Luskin
Efficient Computation of Kubo Conductivity for Incommensurate 2D Heterostructures. CoRR (2019)
Simon Etter, Daniel Massatt, Mitchell Luskin, Christoph Ortner
Modeling and Computation of Kubo Conductivity for 2D Incommensurate Bilayers. CoRR (2019)
Brian Van Koten, Mitchell Luskin
Stability and Convergence of the String Method for Computing Minimum Energy Paths. Multiscale Model. Simul. 17 (2) (2019)
Daniel Massatt, Stephen Carr, Mitchell Luskin, Christoph Ortner
Incommensurate Heterostructures in Momentum Space. Multiscale Model. Simul. 16 (1) (2018)
Matthias Maier, Dionisios Margetis, Mitchell Luskin
Dipole excitation of surface plasmon on a conducting sheet: Finite element approximation and validation. J. Comput. Phys. 339 (2017)
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) (2017)
Daniel Massatt, Mitchell Luskin, Christoph Ortner
Electronic Density of States for Incommensurate Layers. Multiscale Model. Simul. 15 (1) (2017)
Paul Cazeaux, Mitchell Luskin, Ellad B. Tadmor
Analysis of Rippling in Incommensurate One-Dimensional Coupled Chains. Multiscale Model. Simul. 15 (1) (2017)
Alexander V. Shapeev, Mitchell Luskin
Approximation of Crystalline Defects at Finite Temperature. Multiscale Model. Simul. 15 (4) (2017)
Gideon Simpson, Mitchell Luskin, David J. Srolovitz
A Theoretical Examination of Diffusive Molecular Dynamics. SIAM J. Appl. Math. 76 (6) (2016)
Andrew Binder, Mitchell Luskin, Danny Perez, Arthur F. Voter
Analysis of Transition State Theory Rates upon Spatial Coarse-Graining. Multiscale Model. Simul. 13 (3) (2015)
Derek Olson, Pavel B. Bochev, Mitchell Luskin, Alexander V. Shapeev
An Optimization-based Atomistic-to-Continuum Coupling Method. SIAM J. Numer. Anal. 52 (4) (2014)
Mitchell Luskin, Christoph Ortner
Atomistic-to-continuum coupling. Acta Numer. 22 (2013)
Derek Olson, Pavel B. Bochev, Mitchell Luskin, Alexander V. Shapeev
Development of an Optimization-Based Atomistic-to-Continuum Coupling Method. LSSC (2013)
Xingjie Helen Li, Mitchell Luskin, Christoph Ortner
Positive Definiteness of the Blended Force-Based Quasicontinuum Method. Multiscale Model. Simul. 10 (3) (2012)
Claude Le Bris, Tony Lelièvre, Mitchell Luskin, Danny Perez
A mathematical formalization of the parallel replica dynamics. Monte Carlo Methods Appl. 18 (2) (2012)
Pavel Belík, Mitchell Luskin
Analysis of the Quasi-Nonlocal Approximation of Linear and Circular Chains in the Plane. Multiscale Model. Simul. 9 (4) (2011)
Brian Van Koten, Mitchell Luskin
Analysis of Energy-Based Blended Quasi-Continuum Approximations. SIAM J. Numer. Anal. 49 (5) (2011)
Matthew Dobson, Mitchell Luskin, Christoph Ortner
Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation. Multiscale Model. Simul. 8 (3) (2010)
Mitchell Luskin, Christoph Ortner
An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method. SIAM J. Numer. Anal. 47 (4) (2009)
Matthew Dobson, Mitchell Luskin
An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation. SIAM J. Numer. Anal. 47 (4) (2009)
Matthew Dobson, Mitchell Luskin
Iterative Solution of the Quasicontinuum Equilibrium Equations with Continuation. J. Sci. Comput. 37 (1) (2008)
Marcel Arndt, Mitchell Luskin
Error Estimation and Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation of a Frenkel-Kontorova Model. Multiscale Model. Simul. 7 (1) (2008)
Pavel Belík, Mitchell Luskin
The Gamma-Convergence of a Sharp Interface Thin Film Model with Nonconvex Elastic Energy. SIAM J. Math. Anal. 38 (2) (2006)
Piotr Rybka, Mitchell Luskin
Existence of Energy Minimizers for Magnetostrictive Materials. SIAM J. Math. Anal. 36 (6) (2005)
Pavel Belík, Mitchell Luskin
Computational Modeling of Softening in a Structural Phase Transformation. Multiscale Model. Simul. 3 (4) (2005)
Martin Kruzík, Mitchell Luskin
The Computation of Martensitic Microstructure with Piecewise Laminates. J. Sci. Comput. 19 (1-3) (2003)
Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Math. Comput. 72 (242) (2003)
Bo Li, Mitchell Luskin
Nonconforming finite element approximation of crystalline microstructure. Math. Comput. 67 (223) (1998)
Petr Kloucek, Bo Li, Mitchell Luskin
Analysis of a class of nonconforming finite elements for crystalline microstructures. Math. Comput. 65 (215) (1996)