Analysis of the Streamline Upwind/Petrov Galerkin Method Applied to the Solution of Optimal Control Problems ∗
By S. Collis, Matthias Heinkenschloss. 2002
146 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/c92135b9bf3c564dd0025122f5690e9497be1077
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Citations in the corpus
- FAST ITERATIVE SOLVERS FOR CONVECTION-DIFFUSION CONTROL PROBLEMS ∗ (2013, methodology): “For the convection-diffusion control problem, Heinkenschloss and co-workers [6, 9] have considered the popular SUPG stabilized finite element method of Hughes and Brooks [10], and have shown the significant extra difficulty in the case of the control problem as opposed to the forward problem.”
- VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS (2009, background): “Recently, extensive research has been carried out on various theoretical aspects of optimal control problems governed by convection diffusion and convection dominated equations, see, for example, [2], [3], [10], [29].”
- Universal Differential Equations for Scientific Machine Learning (2020, background): “adjoints have been demonstrated to be more stable in others [98, 95] and can reduce spurious oscillations [99, 100, 101].”
- The effect of stabilization in finite element methods for the optimal boundary control of the Oseen equations (2004, methodology): “We expect that most of the analytical results in [8] can be extended to the problems and the GLS stabilization method considered in this paper.”
- Domain decomposition methods for advection dominated linear-quadratic elliptic optimal control problems (2005, background): “The papers [1, 8] show that for linear finite elements and suitable choice of the stabilization parameter, these differences are small.”
- OT-Flow: Fast and Accurate Continuous Normalizing Flows via Optimal Transport (2020, methodology): “This technique corresponds to the discretize-then-optimize (DTO) approach, an effective method for ODE-constrained optimization problems (Collis and Heinkenschloss 2002; Abraham, Behr, and Heinkenschloss 2004; Becker and Vexler 2007; Leugering et al. 2014).”