An Integral Equation Method for Epitaxial
Stepflow Growth Simulations
CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions

An Integral Equation Method for Epitaxial Stepflow
Growth Simulations
Professor
Jingfang Huang
University of North Carolina, Chapel Hill

Abstract:
In this talk, we describe an integral equation
approach for simulating diffusion problems with
moving interfaces. The solutions are represented as
moving layer potentials where the unknowns are only
defined on the interfaces. The resulting integrodifferential
equation (IDE) system is solved using Krylov
deferred correction (KDC) techniques developed for
general differential algebraic equations (DAEs), and
the time dependent potentials are evaluated
efficiently using fast convolution algorithms. The
numerical solver is applied to the BCF model for the
epitaxial stepflow growth of crystals, for which
the solutions are calculated accurately instead of
using quasistatic approximations. Numerical results
in 1+1 dimensions are compared with available
results in the literature. 
