A Nonuniform Anisotropic FEM for Elliptic Boundary Layer Optimal Control Problems
Mathematics and Natural Sciences
In this paper, an anisotropic bilinear finite element method is con- structed for the elliptic boundary layer optimal control problems. Superclose- ness properties of the numerical state and numerical adjoint state in a ∈-norm are established on anisotropic meshes. Moreover, an interpolation type post- processed solution is shown to be superconvergent of order O(N-2), where the total number of nodes is of O(N2). Finally, numerical results are provided to verify the theoretical analysis.
Discrete and Continuous Dynamical Systems - Series B
(2021). A Nonuniform Anisotropic FEM for Elliptic Boundary Layer Optimal Control Problems. Discrete and Continuous Dynamical Systems - Series B, 26(3), 1711-1722.
Available at: https://aquila.usm.edu/fac_pubs/18894