An Optimal ADMM for Unilateral Obstacle Problems

An Optimal ADMM for Unilateral Obstacle Problems

Blog Article

We propose a new alternating direction method of multipliers (ADMM) with an optimal parameter for the 3D Printer Spare Parts unilateral obstacle problem.We first use the five-point difference scheme to discretize the problem.Then, we present an augmented Lagrangian by introducing an auxiliary unknown, and an ADMM is applied to the corresponding saddle-point problem.Through eliminating the primal and auxiliary unknowns, a pure dual algorithm is then used.The convergence of the proposed method is analyzed, and a simple strategy is presented for selecting the optimal parameter, with the largest and smallest eigenvalues of Electrical Parts the iterative matrix.

Several numerical experiments confirm the theoretical findings of this study.