Mitchell Luskin - Publications

Affiliations: 
University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics

51 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Massatt D, Carr S, Luskin M. Efficient computation of Kubo conductivity for incommensurate 2D heterostructures European Physical Journal B. 93: 60. DOI: 10.1140/Epjb/E2020-100518-7  0.305
2020 Swinburne TD, Janssen J, Todorova M, Simpson G, Plechac P, Luskin M, Neugebauer J. Anharmonic free energy of lattice vibrations in fcc crystals from a mean-field bond Physical Review B. 102. DOI: 10.1103/Physrevb.102.100101  0.352
2020 Maier M, Luskin M, Margetis D. Finite-size effects in wave transmission through plasmonic crystals: A tale of two scales Physical Review B. 102. DOI: 10.1103/Physrevb.102.075308  0.309
2020 Zhu Z, Cazeaux P, Luskin M, Kaxiras E. Modeling mechanical relaxation in incommensurate trilayer van der Waals heterostructures Physical Review B. 101. DOI: 10.1103/Physrevb.101.224107  0.363
2020 Cazeaux P, Luskin M, Massatt D. Energy Minimization of Two Dimensional Incommensurate Heterostructures Archive For Rational Mechanics and Analysis. 235: 1289-1325. DOI: 10.1007/S00205-019-01444-Y  0.311
2019 Maier M, Mattheakis M, Kaxiras E, Luskin M, Margetis D. Homogenization of plasmonic crystals: seeking the epsilon-near-zero effect. Proceedings. Mathematical, Physical, and Engineering Sciences. 475: 20190220. PMID 31736641 DOI: 10.1098/Rspa.2019.0220  0.316
2019 Song JH, Maier M, Luskin M. Adaptive finite element simulations of waveguide configurations involving parallel 2D material sheets Computer Methods in Applied Mechanics and Engineering. 351: 20-34. DOI: 10.1016/J.Cma.2019.03.039  0.363
2017 Cazeaux P, Luskin M, Tadmor EB. Analysis of Rippling in Incommensurate One-Dimensional Coupled Chains Multiscale Modeling & Simulation. 15: 56-73. DOI: 10.1137/16M1076198  0.312
2017 Binder AJ, Luskin M, Ortner C. Analysis of a predictor-corrector method for computationally efficient modeling of surface effects in 1D Multiscale Modeling & Simulation. 15: 892-919. DOI: 10.1137/16M1065884  0.329
2017 Maier M, Margetis D, Luskin M. Dipole excitation of surface plasmon on a conducting sheet: Finite element approximation and validation Journal of Computational Physics. 339: 126-145. DOI: 10.1016/J.Jcp.2017.03.014  0.361
2016 Margetis D, Luskin M. On solutions of Maxwell's equations with dipole sources over a thin conducting film Journal of Mathematical Physics. 57. DOI: 10.1063/1.4945083  0.31
2016 Olson D, Shapeev AV, Bochev PB, Luskin M. Analysis of an optimization-based atomistic-to-continuum coupling method for point defects Esaim: Mathematical Modelling and Numerical Analysis. 50: 1-41. DOI: 10.1051/M2An/2015023  0.362
2015 Binder A, Luskin M, Perez D, Voter AF. Analysis of Transition State Theory Rates upon Spatial Coarse-Graining Multiscale Modeling & Simulation. 13: 890-915. DOI: 10.1137/140983963  0.313
2014 Li XH, Luskin M, Ortner C, Shapeev AV. Theory-based benchmarking of the blended force-based quasicontinuum method☆ Computer Methods in Applied Mechanics and Engineering. 268: 763-781. DOI: 10.1016/J.Cma.2013.10.007  0.652
2013 Li XH, Luskin M. Lattice stability for atomistic chains modeled by local approximations of the embedded atom method Computational Materials Science. 66: 96-103. DOI: 10.1016/J.Commatsci.2012.04.038  0.681
2012 Li XH, Luskin M. A generalized quasinonlocal atomistic-to-continuum coupling method with finite-range interaction Ima Journal of Numerical Analysis. 32: 373-393. DOI: 10.1093/Imanum/Drq049  0.638
2011 Koten BV, Luskin M. Analysis of Energy-Based Blended Quasi-Continuum Approximations Siam Journal On Numerical Analysis. 49: 2182-2209. DOI: 10.1137/10081071X  0.405
2009 Dobson M, Luskin M. An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation Siam Journal On Numerical Analysis. 47: 2455-2475. DOI: 10.1137/08073723X  0.719
2009 Dobson M, Luskin M. An Analysis Of The Effect Of Ghost Force Oscillation On Quasicontinuum Error Mathematical Modelling and Numerical Analysis. 43: 591-604. DOI: 10.1051/M2An/2009007  0.71
2008 Dobson M, Luskin M. Analysis of a force-based quasicontinuum approximation Mathematical Modelling and Numerical Analysis. 42: 113-139. DOI: 10.1051/M2An:2007058  0.701
2008 Arndt M, Luskin M. Goal-Oriented Adaptive Mesh Refinement for the Quasicontinuum Approximation of a Frenkel-Kontorova Model Computer Methods in Applied Mechanics and Engineering. 197: 4298-4306. DOI: 10.1016/J.Cma.2008.05.005  0.373
2008 Dobson M, Luskin M. Iterative Solution of the Quasicontinuum Equilibrium Equations with Continuation Journal of Scientific Computing. 37: 19-41. DOI: 10.1007/S10915-008-9208-6  0.705
2007 Luskin M, Zhang T. Numerical analysis of a model for ferromagnetic shape memory thin films Computer Methods in Applied Mechanics and Engineering. 196: 3759-3770. DOI: 10.1016/J.Cma.2006.10.039  0.4
2007 Dobson M, Elliott RS, Luskin M, Tadmor EB. A multilattice quasicontinuum for phase transforming materials: Cascading Cauchy Born kinematics Journal of Computer-Aided Materials Design. 14: 219-237. DOI: 10.1007/S10820-007-9084-7  0.713
2006 Belík P, Luskin M. The Gamma-Convergence of a Sharp Interface Thin Film Model with Nonconvex Elastic Energy Siam Journal On Mathematical Analysis. 38: 414-433. DOI: 10.1137/050622596  0.728
2006 Liakhova J, Luskin M, Zhang T. Computational Modeling of Ferromagnetic Shape Memory Thin Films Ferroelectrics. 342: 73-82. DOI: 10.1080/00150190600946211  0.325
2006 Bělík P, Luskin M. A finite element model for martensitic thin films Calcolo. 43: 197-215. DOI: 10.1007/S10092-006-0120-X  0.337
2005 Bvelík P, Luskin M. Computational Modeling of Softening in a Structural Phase Transformation Multiscale Modeling & Simulation. 3: 764-781. DOI: 10.1137/040604339  0.364
2004 Bělík P, Luskin M. A Computational Model For Martensitic Thin Films With Compositional Fluctuation Mathematical Models and Methods in Applied Sciences. 14: 1585-1598. DOI: 10.1142/S021820250400374X  0.336
2003 Kružík M, Luskin M. The Computation of Martensitic Microstructure with Piecewise Laminates Journal of Scientific Computing. 19: 293-308. DOI: 10.1023/A:1025360126654  0.354
2002 Belik P, Luskin M. A total-variation surface energy model for thin films of martensitic crystals Interfaces and Free Boundaries. 4: 71-88. DOI: 10.4171/Ifb/53  0.719
2002 Cockburn B, Luskin M, Shu C, Süli E. Enhanced accuracy by post-processing for finite element methods for hyperbolic equations Mathematics of Computation. 72: 577-607. DOI: 10.1090/S0025-5718-02-01464-3  0.319
2002 Bělı́k P, Luskin M. A computational model for the indentation and phase transformation of a martensitic thin film Journal of the Mechanics and Physics of Solids. 50: 1789-1815. DOI: 10.1016/S0022-5096(02)00018-2  0.409
2001 Efendiev Y, Luskin M. Stability of microstructures for some martensitic transformations Mathematical and Computer Modelling. 34: 1289-1305. DOI: 10.1016/S0895-7177(01)00133-9  0.332
2000 Belik P, Luskin M. Stability of microstructure for tetragonal to monoclinic martensitic transformations Mathematical Modelling and Numerical Analysis. 34: 663-685. DOI: 10.1051/M2An:2000161  0.713
1999 Li B, Luskin M. Theory and computation for the microstructure near the interface between twinned layers and a pure variant of martensite Materials Science and Engineering a-Structural Materials Properties Microstructure and Processing. 273: 237-240. DOI: 10.1016/S0921-5093(99)00378-0  0.352
1999 Bhattacharya K, Li B, Luskin M. The Simply Laminated Microstructure in Martensitic Crystals that Undergo a Cubic-to-Orthorhombic Phase Transformation Archive For Rational Mechanics and Analysis. 149: 123-154. DOI: 10.1007/S002050050170  0.448
1998 Li B, Luskin M. Finite Element Analysis of Microstructure for the Cubic to Tetragonal Transformation Siam Journal On Numerical Analysis. 35: 376-392. DOI: 10.1137/S0036142996301111  0.441
1998 Li B, Luskin M. Nonconforming finite element approximation of crystalline microstructure Mathematics of Computation. 67: 917-947. DOI: 10.1090/S0025-5718-98-00941-7  0.407
1996 Kloucek P, Li B, Luskin M. Analysis of a class of nonconforming finite elements for crystalline microstructures Mathematics of Computation. 65: 1111-1136. DOI: 10.1090/S0025-5718-96-00735-1  0.361
1994 Klouek P, Luskin M. Computational modeling of the martensitic transformation with surface energy Mathematical and Computer Modelling. 20: 101-121. DOI: 10.1016/0895-7177(94)90173-2  0.434
1992 Luskin M, Ma L. Analysis of the Finite Element Approximation of Microstructure in Micromagnetics Siam Journal On Numerical Analysis. 29: 320-331. DOI: 10.1137/0729021  0.307
1991 Collins C, Kinderlehrer D, Luskin M. Numerical approximation of the solution of variational problem with a double well potential Siam Journal On Numerical Analysis. 28: 321-332. DOI: 10.1137/0728018  0.401
1989 Lin S-, Luskin M. Relaxation methods for liquid crystal problems Siam Journal On Numerical Analysis. 26: 1310-1324. DOI: 10.1137/0726076  0.332
1985 Kheshgi H, Luskin M. Analysis of the finite element variable penalty method for Stokes equations Mathematics of Computation. 45: 347-363. DOI: 10.1090/S0025-5718-1985-0804928-X  0.326
1985 Lorence LJ, Martin WR, Luskin M. Analysis of a block Gauss-Seidel iterative method for a finite element discretization of the neutron transport equation Transport Theory and Statistical Physics. 14: 35-62. DOI: 10.1080/00411458508211669  0.337
1982 Descloux J, Luskin M. On a Finite Element Method to Solve the Criticality Eigenvalue Problem for the Transport Equation Siam Journal On Numerical Analysis. 19: 1208-1219. DOI: 10.1137/0719086  0.321
1982 Luskin M, Rannacher R. On the Smoothing Property of the Galerkin Method for Parabolic Equations Siam Journal On Numerical Analysis. 19: 93-113. DOI: 10.1137/0719003  0.351
1980 Luskin M. A finite element method for first-order hyperbolic systems Mathematics of Computation. 35: 1093-1112. DOI: 10.1090/S0025-5718-1980-0583489-2  0.342
1979 Luskin M. An Approximation Procedure for Nonsymmetric, Nonlinear Hyperbolic Systems with Integral Boundary Conditions Siam Journal On Numerical Analysis. 16: 145-164. DOI: 10.1137/0716011  0.312
1979 Luskin M. Convergence of a finite element method for the approximation of normal modes of the oceans Mathematics of Computation. 33: 493-519. DOI: 10.1090/S0025-5718-1979-0521272-6  0.339
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