PDE-constrained optimization: Difference between revisions

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== Applications ==

* Aerodynamic shape optimization<ref>{{Cite web|url=http://aero-comlab.stanford.edu/Papers/jameson.vki03.pdf|title=Aerodynamic Shape Optimization Using the Adjoint Method|last=Jameson|first=Antony|date=2003|website=Stanford University}}</ref><ref>{{Cite journal|last1=Hazra|first1=S. B.|last2=Schulz|first2=V.|last3=Brezillon|first3=J.|last4=Gauger|first4=N. R.|date=2005-03-20|title=Aerodynamic shape optimization using simultaneous pseudo-timestepping|url=http://www.sciencedirect.com/science/article/pii/S0021999104004061|journal=Journal of Computational Physics|language=en|volume=204|issue=1|pages=46–64|doi=10.1016/j.jcp.2004.10.007|bibcode=2005JCoPh.204...46H |issn=0021-9991|url-access=subscription}}</ref>

* [[Drug delivery]]<ref>{{Cite journal|last1=Somayaji|first1=Mahadevabharath R.|last2=Xenos|first2=Michalis|last3=Zhang|first3=Libin|last4=Mekarski|first4=Megan|last5=Linninger|first5=Andreas A.|date=2008-01-01|title=Systematic design of drug delivery therapies|url=http://www.sciencedirect.com/science/article/pii/S0098135407001688|journal=Computers & Chemical Engineering|series=Process Systems Engineering: Contributions on the State-of-the-Art|language=en|volume=32|issue=1|pages=89–98|doi=10.1016/j.compchemeng.2007.06.014|issn=0098-1354|url-access=subscription}}</ref><ref>{{Cite journal|last1=Antil|first1=Harbir|last2=Nochetto|first2=Ricardo H.|last3=Venegas|first3=Pablo|date=2017-10-19|title=Optimizing the Kelvin force in a moving target subdomain|journal=Mathematical Models and Methods in Applied Sciences|volume=28|issue=1|pages=95–130|doi=10.1142/S0218202518500033|issn=0218-2025|arxiv=1612.07763|s2cid=119604277}}</ref>

* [[Mathematical finance]]<ref>{{Cite journal|last1=Egger|first1=Herbert|last2=Engl|first2=Heinz W.|date=2005|title=Tikhonov regularization applied to the inverse problem of option pricing: convergence analysis and rates|journal=Inverse Problems|volume=21|issue=3|pages=1027–1045|doi=10.1088/0266-5611/21/3/014|bibcode=2005InvPr..21.1027E |s2cid=11012681 }}</ref>

* [[Epidemiology]]<ref>{{Cite journal |lastlast1=Mehdaoui |firstfirst1=Mohamed |last2=Lacitignola |first2=Deborah |last3=Tilioua |first3=Mouhcine |date=2024 |title=Optimal social distancing through cross-diffusion control for a disease outbreak PDE model |url=https://doiwww.org/10sciencedirect.1016com/j.cnsns.2024.107855.science/article/pii/S1007570424000418 |journal=Communications in Nonlinear Science and Numerical Simulation |volume=131 |pages=107855 |viadoi=Elsevier10.1016/j.cnsns.2024.107855 Science|bibcode=2024CNSNS.13107855M |issn=1007-5704|url-access=subscription Direct}}</ref>

=== Optimal control of bacterial chemotaxis system ===