For the simulation and optimization of large-scale chemical processes,
the overall computing time is often dominated by the time needed to solve
a large sparse system of linear equations. We present here a new parallel
frontal solver which can significantly reduce the wallclock time required
to solve these linear equation systems using parallel/vector supercomputers.
The algorithm exploits both multiprocessing and vector processing by using
a multilevel approach in which frontal elimination is used for the partial
factorization of each front. Results on several large scale process simulation
and optimization problems are presented.
AIChE J., 43, 1032-1040 (1997)