PDE-constrained optimization
PDE-constrained optimization is a subset of mathematical optimization where at least one of the constraints may be expressed as a partial differential equation. Typical domains where these problems arise include aerodynamics, computational fluid dynamics, image segmentation, and inverse problems. A standard formulation of PDE-constrained optimization encountered in a number of disciplines is given by:
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- enPDE-constrained optimization is a subset of mathematical optimization where at least one of the constraints may be expressed as a partial differential equation. Typical domains where these problems arise include aerodynamics, computational fluid dynamics, image segmentation, and inverse problems. A standard formulation of PDE-constrained optimization encountered in a number of disciplines is given by:
- Has abstract
- enPDE-constrained optimization is a subset of mathematical optimization where at least one of the constraints may be expressed as a partial differential equation. Typical domains where these problems arise include aerodynamics, computational fluid dynamics, image segmentation, and inverse problems. A standard formulation of PDE-constrained optimization encountered in a number of disciplines is given by: where is the control variable and is the Euclidean norm. Closed-form solutions are generally unavailable for PDE-constrained optimization problems, necessitating the development of numerical methods.
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- PDE-constrained optimization
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- enPDE-constrained optimization
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- www.springer.com/gp/book/9781493986354
- bookstore.ams.org/gsm-112
- www2.math.uconn.edu/~leykekhman/my_papers/HA_DL_PDECO-Jan_28_2018.pdf
- archive.siam.org/meetings/op08/Heinkenschloss.pdf
- www.numerical.rl.ac.uk/people/rees/pdf/NA-08-10_new.pdf
- www.mathcs.emory.edu/~haber/pubs/ParamC.pdf
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- Aerodynamics
- Category:Mathematical optimization
- Category:Optimal control
- Category:Partial differential equations
- Chemotaxis
- Computational fluid dynamics
- Constrained optimization
- Drug delivery
- Euclidean norm
- Image segmentation
- Inverse problem
- Laplace operator
- Mathematical finance
- Mathematical optimization
- Multiphysics
- Numerical methods for partial differential equations
- Partial differential equation
- Shape optimization
- SU2 code
- SameAs
- DSmsj
- Q97358887
- Subject
- Category:Mathematical optimization
- Category:Optimal control
- Category:Partial differential equations
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- PDE-constrained optimization?oldid=1117696284&ns=0
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