Premium
Adaptive algorithms for optimal control of time‐dependent partial differential‐algebraic equation systems
Author(s) -
Serban Radu,
Li Shengtai,
Petzold Linda R.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.786
Subject(s) - solver , sequential quadratic programming , optimal control , partial differential equation , mathematical optimization , computer science , algebraic number , algorithm , elliptic partial differential equation , adaptive mesh refinement , mathematics , quadratic programming , computational science , mathematical analysis
This paper describes an adaptive algorithm for optimal control of time‐dependent partial differential‐algebraic equation (PDAE) systems. A direct method based on a modified multiple shooting type technique and sequential quadratic programming (SQP) is used for solving the optimal control problem, while an adaptive mesh refinement (AMR) algorithm is employed to dynamically adapt the spatial integration mesh. Issues of coupling the AMR solver to the optimization algorithm are addressed. For time‐dependent PDAEs which can benefit from the use of an adaptive mesh, the resulting method is shown to be highly efficient. Copyright © 2003 John Wiley & Sons, Ltd.