Numerical Mathematics and Advanced Applications

pp 613-620

An Inexact Trust-Region SQP Method with Applications to PDE-Constrained Optimization

  • M. HeinkenschlossAffiliated withDepartment of Computational and Applied Mathematics, MS-134, Rice University
  • , D. RidzalAffiliated withOptimization and Uncertainty Quantification, MS-1320, Sandia National Laboratories

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We present a trust-region sequential quadratic programming (SQP) method with iterative linear system solves, for the solution of smooth nonlinear equality-constrained optimization problems. Stopping criteria for iterative solvers are selected by the optimization algorithm, based on its overall progress. Global convergence is ensured and unnecessary oversolving of linear systems is eliminated. The algorithm is applied to several PDE-constrained optimization problems.