Mitchell Luskin
Mitchell Luskin
Professor of Mathematics, University of Minnesota
Verified email at - Homepage
Cited by
Cited by
On the computation of crystalline microstructure
M Luskin
Acta numerica 5, 191-257, 1996
On the smoothing property of the Galerkin method for parabolic equations
M Luskin, R Rannacher
SIAM Journal on Numerical Analysis 19 (1), 93-113, 1982
Atomic and electronic reconstruction at the van der Waals interface in twisted bilayer graphene
H Yoo, R Engelke, S Carr, S Fang, K Zhang, P Cazeaux, SH Sung, ...
Nature materials 18 (5), 448-453, 2019
Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
B Cockburn, M Luskin, CW Shu, E Süli
Mathematics of Computation 72 (242), 577-606, 2003
On the smoothing property of the Crank-Nicolson scheme
M Luskin, R Rannacher, W Wendland
Applicable Analysis 14 (2), 117-135, 1982
The computation of the austenitic-martensitic phase transition
C Collins, M Luskin
PDEs and continuum models of phase transitions, 34-50, 1989
Numerical approximation of the solution of a variational problem with a double well potential
C Collins, D Kinderlehrer, M Luskin
SIAM journal on numerical analysis 28 (2), 321-332, 1991
Twistronics: Manipulating the electronic properties of two-dimensional layered structures through their twist angle
S Carr, D Massatt, S Fang, P Cazeaux, M Luskin, E Kaxiras
Physical Review B 95 (7), 075420, 2017
Atomistic-to-continuum coupling
M Luskin, C Ortner
Acta Numerica 22, 397, 2013
A mathematical formalization of the parallel replica dynamics
C Le Bris, T Lelievre, M Luskin, D Perez
Monte Carlo Methods and Applications 18 (2), 119-146, 2012
The existence of a global weak solution to the non-linear waterhammer problem
JB Temple, M Luskin
Commun. Pure Appl. Math 35, 697-735, 1982
Analysis of a force-based quasicontinuum approximation
M Dobson, M Luskin
ESAIM: Mathematical Modelling and Numerical Analysis 42 (1), 113-139, 2008
Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem
C Collins, M Luskin
mathematics of computation 57 (196), 621-637, 1991
Minimum energy configurations for liquid crystals: Computational results
R Cohen, R Hardt, D Kinderlehrer, SY Lin, M Luskin
Theory and Applications of Liquid Crystals, 99-121, 1987
Non-ergodicity of the Nosé–Hoover thermostatted harmonic oscillator
F Legoll, M Luskin, R Moeckel
Archive for rational mechanics and analysis 184 (3), 449-463, 2007
Analysis of the finite element approximation of microstructure in micromagnetics
M Luskin, L Ma
SIAM journal on numerical analysis 29 (2), 320-331, 1992
Stability, instability, and error of the force-based quasicontinuum approximation
M Dobson, M Luskin, C Ortner
Archive for Rational Mechanics and Analysis 197 (1), 179-202, 2010
Construction of inertial manifolds by elliptic regularization
E Fabes, M Luskin, GR Sell
Journal of differential equations 89 (2), 355-387, 1991
Relaxation and domain formation in incommensurate two-dimensional heterostructures
S Carr, D Massatt, SB Torrisi, P Cazeaux, M Luskin, E Kaxiras
Physical Review B 98 (22), 224102, 2018
Accuracy of quasicontinuum approximations near instabilities
M Dobson, M Luskin, C Ortner
Journal of the Mechanics and Physics of Solids 58 (10), 1741-1757, 2010
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