Use of optimal control theory for the numerical simulation of transonic flow by the method of finite elements

  • R. Glowinski
  • J. Periaux
  • O. Pironneau
Part of the Lecture Notes in Physics book series (LNP, volume 59)


It is shown that the transonic equation for compressible potential flow is equivalent to an optimal control problem of a linear distributed parameter system. This problem can be discretized by the finite element method and solved by a conjugate gradient algorithm. Thus a new class of methods for solving the transonic equation is obtained. Il is particularly well adapted to problems with complicate two or three dimensional geometries and shocks.


Optimal Control Problem Conjugate Gradient Method Optimal Control Theory Subsonic Flow Transonic Flow 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • R. Glowinski
    • 1
  • J. Periaux
    • 2
  • O. Pironneau
    • 3
  1. 1.PARIS VIParis
  2. 2.AMD-BASt-Cloud
  3. 3.IRIALe Chesnay

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