Publications

2013 Publications

The Analyticity Breakdown For Frenkel-kontorova Models In Quasi-periodic Media: Numerical Explorations, Timothy Blass, Rafael de la Llave
Numerical Analysis of Parallel Replica Dynamics, (submitted), Gideon Simpson, Mitchell Luskin
Atomistic-to-continuum coupling, Mitchell Luskin, Christoph Ortner

2012 Publications

A stable and efficient scheme for phase field crystal simulation, (submitted), Matthew Elsey, Benedikt Wirth
Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law, (submitted), Robert V Kohn, Hoai-Minh Nguyen
Wrinkles as a relaxation of compressive stresses in an annular thin film, (accepted: Comm. Pure Appl. Math. ), Peter Bella, Robert V Kohn
Energy scaling laws for conically constrained thin elastic sheets, (submitted), Jeremy Brandman, Robert V Kohn, Hoai-Minh Nguyen
Positive-definiteness of the blended force-based quasicontinuum method, (accepted: SIAM J. Multiscale Modeling & Simulation, 10:1023-1045, 2012. ), Xingjie Helen Li, Mitchell Luskin, Christoph Ortner
Numerical Studies of Homogenization Under a Fast Cellular Flow, (accepted: SIAM MMS ), Gautam Iyer, Konstantinos C. Zygalakis
Crossover of the Coarsening Rates in Demixing of Binary Viscous Liquids, (accepted: Commun. Math. Sci ), Felix Otto, Christian Seis, Dejan Slepčev
Evolution Of Elastic Thin Films With Curvature Regularization Via Minimizing Movements, (submitted), Paolo Piovano
Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces, (accepted: Arch. Ration. Mech. and Anal ), G. Dal Maso, Irene Fonseca, Giovanni Leoni

2011 Publications

From Atomistics to the Continuum: A Mesh-Free Quasicontinuum Formulation Based on Local Max-ent Approximation Schemes, (accepted: Proc. App. Math. Mech., p. 393, vol. 11 ), Dennis M. Kochmann, Jeffrey S. Amelang, Michael Ortiz, Malena I. Español
Formulation and Optimization of the Energy-Based Blended Quasicontinuum Method, (accepted: Computer Methods in Applied Mechanics and Engineering, 253:160-168, 2013. arXiv: 1112.2377 ), Mitchell Luskin, Christoph Ortner, Brian Van Koten
From homogenization to averaging in cellular flows, (submitted), Gautam Iyer, Tomasz Komorowski, Alexei Novikov, Lenya Ryzhik
Nucleation barriers for the cubic-to-tetragonal phase transformation, (submitted), Hans Knupfer, Robert V Kohn, Felix Otto
Analysis of Blended Quasicontinuum Approximations, (accepted: SIAM J. Numer. Anal., p. 2182, vol. 49 ), Brian Van Koten, Mitchell Luskin
Design of viscometers corresponding to a universal molecular simulation method, (submitted), Kaushik Dayal, Richard D. James
Linear Stationary Iterative Methods for the Force-based Quasicontinuum Approximation, (accepted: Numer. Anal. and Multiscale Comps., p. , vol. 82 ), Mitchell Luskin, Christoph Ortner
Material Voids in Elastic Solids With Anisotropic Surface Energies, (accepted: J. Math. Pures Appl ), Irene Fonseca, Nicola Fusco, Giovanni Leoni, Vincent Millot
Motion of Elastic Thin Films by Anisotropic Surface Diffusion with Curvature Regularization, (submitted), Irene Fonseca, Nicola Fusco, Giovanni Leoni, Massimiliano Morini
A Computational and Theoretical Investigation of the Accuracy of Quasicontinuum Methods, (accepted: Numer. Anal. of Multiscale Probls. ), Brian Van Koten, Xingjie Helen Li, Mitchell Luskin, Christoph Ortner
A Weak compatibility condition for precipitation with application to the microstructure of PbTe-Sb₂Te₃ thermoelectrics, (submitted), Xian Chen, Shanshan Cao, Teruyuki Ikeda, Vijay Srivastava, G. Jeffrey Snyder, Dominique Schryvers, Richard D. James