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math.OC2017★ 4 cited
Error Estimates for Sparse Optimal Control Problems by Piecewise Linear Finite Element Approximation
Xiaoliang Song, Bo Chen, Bo Yu
Optimization problems with -control cost functional subject to an elliptic partial differential equation (PDE) are considered. However, different from the finite dimensional $…
math.OC2017★ 3 cited
Mesh Independence of an Accelerated Block Coordinate Descent Method for Sparse Optimal Control Problems
Xiaoliang Song, Bo Chen, Bo Yu
An accelerated block coordinate descent (ABCD) method in Hilbert space is analyzed to solve the sparse optimal control problem via its dual. The finite element approximation of thi…