Mathematics
Petr Plechac
Joint Faculty:
- Department of Mathematics - University of Tennessee
- Computer Science and Mathematics Division, Oak Ridge National Laboratory
Homepage: http://www.math.utk.edu/~plechac/
Email: plechac at math.utk.edu
Research
My current research interests include numerical analysis, computational methods for PDEs, scientific computing and parallel algorithms, numerical modelling of microstructure, computational methods in materials science and statistical physics, non-linear elasticity and calculus of variations, non-linear PDEs, and bifurcation problems.
Selected Publications
Additional publications, including preprints in PDF and Postscript format, are available at http://www.math.utk.edu/~plechac/research_ver1.html.
- Error analysis of coarse-graining for stochastic lattice dynamics.
SIAM J. Numer. Analysis 44: 2270-2296 (2006; with M.A. Katsoulakis and A. Sopasakis) - Mesoscopic modeling for continuous spin lattice systems: Model problems and micromagnetics application.
J. Stat. Phys. 119: 347-389 (2005; with M.A. Katsoulakis and D. Tsagkarogiannis) - Convergence for stabilisation of degenerately convex minimisation problems.
Interfaces and Free Boundaries 6: 253-269 (2004; with S. Bartels, C. Carstensen and A. Prohl) - Singular and regular solutions of a non-linear parabolic system
Nonlinearity , 16, 6, 2083-2097 (2003; with V. Sverak) - A visco-elasto-plastic model for phase transformations.
Math. Methods in Appl. Sciences 25: 1281-1298 (2002; with T. Roubicek)