TY - JOUR
T1 - Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs
AU - Guan, Hongbo
AU - Wang, Yong
AU - Zhu, Huiqing
N1 - Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2019/12
Y1 - 2019/12
N2 - 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.
AB - 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.
KW - Boundary optimal control problems
KW - Collocation method
KW - Method of fundamental solution
KW - Radial basis functions
UR - http://www.scopus.com/inward/record.url?scp=85068897009&partnerID=8YFLogxK
U2 - 10.1016/j.aml.2019.06.025
DO - 10.1016/j.aml.2019.06.025
M3 - Article
AN - SCOPUS:85068897009
SN - 0893-9659
VL - 98
SP - 438
EP - 445
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
ER -