Radu Serban and Linda Petzold Computational Science and Engineering Program Dept. of Mechanical and Environmental Engineering University of California Santa Barbara, CA 93106

Laxminarayan Raja and Robert Kee Engineering Division Colorado School of Mines Golden, CO 80401

We present a dynamic optimization algorithm and software for large-scale differential-algebraic equations (DAEs). The algorithm is demonstrated using an example from the chemical-vapor-deposition (CVD) growth of a thin-film Yttrium Barium Copper Oxide (YBCO) high-temperature superconductor. The equations describing the chemically reacting stagnation flow are written in a transient compressible similarity form. After discretizing the spatial derivatives on a finite-volume mesh, the system becomes a system of DAEs.

MINISIMPOSIUM SESSION: 1. Optimization problems in differential equations