Optimal Control of Partial Differential Equations: Theory, Methods and Applications
By Fredi Tröltzsch. 2010
1,602 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/db78887717f7c681fede69886b7f93c1a754589e
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In Computational Theory and Mathematics
- John W. Pearson
- A. Wathen
- Loukas F. Kallivokas
- Martin Gubisch
- Stefan Volkwein
- Babak Poursartip
- Arash Fathi
In Numerical Analysis
- John W. Pearson
- A. Wathen
- Loukas F. Kallivokas
- Martin Gubisch
- Stefan Volkwein
- Babak Poursartip
- Arash Fathi
Citations in the corpus
- Full-waveform inversion in three-dimensional PML-truncated elastic media (2015, methodology): “For computing the first-order optimality conditions for (7), we use the (formal) Lagrangian approach [41] to impose the PDE-constraint in its weak form.”
- Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations (2013, background): “The rest of the proof is a slight modification of the proof in [28] for the weak case.”
- FAST ITERATIVE SOLVERS FOR CONVECTION-DIFFUSION CONTROL PROBLEMS ∗ (2013, background): “[20] F. Tröltzsch, Optimal Control of Partial Differential Equations: Theory, Methods and Applications, Graduate Series in Mathematics, American Mathematical Society, 2010.”
- Proper Orthogonal Decomposition for Linear-Quadratic Optimal Control (2013, background): “11 and [72] that the variational inequality (4.”