Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
By Roland Becker, Hartmut Kapp, Rolf Rannacher. SIAM Journal of Control and Optimization, 2000
345 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/e9421e9f51e7936b544423f0d8664f49cf86df9b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Ronald H. W. Hoppe
- Luca Dede'
- Alfio Maria Quarteroni
- Michael Kieweg
- Yuri Iliash
- Andrea Manzoni
- Marco Discacciati
- Beatrice M. Riviere
In Computational Theory and Mathematics
- Ronald H. W. Hoppe
- Alfio Maria Quarteroni
- Michael Kieweg
- Yuri Iliash
- Luca Dede'
- Gianluigi Rozza
- Marco Discacciati
- Anthony T. Patera
Citations in the corpus
- Optimal Control and Numerical Adaptivity for Advection-Diffusion Equations (2005, methodology): “Separating iteration error from discretization error At the iterative step j the adaptivity will be based on the evaluation of the following error [4]: |J(w∗, u∗) − J(w h, u j h)|, (45) where ∗ indicates optimal variables.”
- Convergence Analysis of an Adaptive Finite Element Method for Distributed Control Problems with Control Constraints (2007, background): “As far as the a posteriori error analysis of adaptive finite element schemes for optimal control problems is concerned, the unconstrained case has been considered in [4, 6 ], whereas residual-type a posteriori error estimators in the control constrained case have been derived and analyzed in [17, 1”