Design Optimization of Systems Governed by Partial Differential Equations. Phase 1

Abstract

The results of the Phase I study on 'Design Optimization of Systems Governed by Partial Differential Equations' are presented. The optimization algorithm used is the Pironneau-Polak method of feasible directions with Armijo step size. This algorithm, and related ones are uniquely applicable to practical engineering and science problems whose constraints are defined implicitly in terms of possibly discontinuous functionals of the solution to te PDE's. The objective (cost) and constraint functions are evaluated by execution, from the optimization code, of a separate (and complex) user-oriented PDE code; gradients are determined numerically. Feasibility is convincingly demonstrated by the design optimization of several practical laser electrode problems.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1989
Accession Number
ADA207812

Entities

People

  • Patrick J. Roache

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Cartesian Coordinates
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programming
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Dielectrics
  • Differential Equations
  • Electric Fields
  • Energy
  • Fluid Dynamics
  • Geometry
  • Partial Differential Equations
  • Test And Evaluation
  • Three Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Operations Research
  • Software Engineering

Technology Areas

  • Directed Energy