SHENGTAI
LI
University of California Santa Barbara
Santa Barbara, CA 93106, USA
shengtai@engineering.ucsb.edu
Abstract:
We have developed a structured adaptive mesh
refinement (SAMR) method for parabolic systems. Solutions are calculated
using
the finite-difference or finite-volume method in space and backward
differentiation formula (BDF) integration in time. The combination of
SAMR in
space and BDF in time is designed for problems where the fine-scale
profile of
sharp fronts in space should be resolved and implicit integration in time
is
necessary to improve the efficiency of the computation. Sensitivity
analysis
methods on the adaptive mesh are also presented.