Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs

Hongbo Guan, Yong Wang, Huiqing Zhu

Research output: Contribution to journalArticle

Abstract

In this paper, two meshless schemes are proposed for solving Dirichlet boundary optimal control problems governed by elliptic equations. The first scheme uses radial basis function collocation method (RBF-CM) for both state equation and adjoint state equation, while the second scheme employs the method of fundamental solution (MFS) for the state equation when it has a zero source term, and RBF-CM for the adjoint state equation. Numerical examples are provided to validate the efficiency of the proposed schemes.

Original languageEnglish
Pages (from-to)438-445
Number of pages8
JournalApplied Mathematics Letters
Volume98
DOIs
StatePublished - Dec 2019

Keywords

  • Boundary optimal control problems
  • Collocation method
  • Method of fundamental solution
  • Radial basis functions

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