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Nonequilibrium Interface and Surface Dynamics 2007
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An Integral Equation Method for Epitaxial
Step-flow Growth Simulations
CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions
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An Integral Equation Method for Epitaxial Step-flow
Growth Simulations
Professor
Jingfang Huang
University of North Carolina, Chapel Hill
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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 integro-differential
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 step-flow growth of crystals, for which
the solutions are calculated accurately instead of
using quasi-static approximations. Numerical results
in 1+1 dimensions are compared with available
results in the literature. |
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