Meshless Methods For Solving Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs
Mathematics and Natural Sciences
© 2019 Elsevier Ltd 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.
Applied Mathematics Letters
(2019). Meshless Methods For Solving Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs. Applied Mathematics Letters, 98, 438-445.
Available at: https://aquila.usm.edu/fac_pubs/17917