Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    A power penalty approach to a discretized obstacle problem with nonlinear constraints

    Access Status
    Fulltext not available
    Authors
    Zhao, J.
    Wang, Song
    Date
    2019
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Zhao, J. and Wang, S. 2019. A power penalty approach to a discretized obstacle problem with nonlinear constraints. Optimization Letters. 13 (7): pp. 1483–1504.
    Source Title
    Optimization Letters
    DOI
    10.1007/s11590-018-1354-7
    ISSN
    1862-4472
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/71030
    Collection
    • Curtin Research Publications
    Abstract

    A novel power penalty method is proposed to solve a nonlinear obstacle problem with nonlinear constraints arising from the discretization of an infinite-dimensional optimization problem. This approach is based on the formulation of a penalty equation approximating the mixed nonlinear complementarity problem arising from the Karush–Kuhn–Tucker conditions of the optimization problem. We show that the solution to the penalty equation converges to that of the complementarity problem with an exponential convergence rate depending on the parameters used in the penalty equation. Numerical experiments are performed to confirm the theoretical convergence rate established.

    Related items

    Showing items related by title, author, creator and subject.

    • A study of optimization and optimal control computation : exact penalty function approach
      Yu, Changjun (2012)
      In this thesis, We propose new computational algorithms and methods for solving four classes of constrained optimization and optimal control problems. In Chapter 1, we present a brief review on optimization and ...
    • Optimal control problems with constraints on the state and control and their applications
      Li, Bin (2011)
      In this thesis, we consider several types of optimal control problems with constraints on the state and control variables. These problems have many engineering applications. Our aim is to develop efficient numerical methods ...
    • Optimal control problems involving constrained, switched, and delay systems
      Loxton, Ryan Christopher (2010)
      In this thesis, we develop numerical methods for solving five nonstandard optimal control problems. The main idea of each method is to reformulate the optimal control problem as, or approximate it by, a nonlinear programming ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.