OPTE special issue on PDE-constrained optimization
نویسندگان
چکیده
منابع مشابه
Algorithms for PDE-Constrained Optimization
In this paper we review a number of algorithmic approaches for solving optimization problems with PDE constraints. Most of these methods were originally developed for finite dimensional problems. When applied to optimization problems with PDE constraints, new aspects become important. For instance, (discretized) PDE-constrained problems are inherently large-scale. Some aspects, like mesh indepe...
متن کاملModel Problems in PDE-Constrained Optimization
This work aims to aid in introducing, experimenting and benchmarking algorithms for PDE-constrained optimization problems by presenting a set of such model problems. We specifically examine a type of PDE-constrained optimization problem, the parameter estimation problem. We present three model parameter estimation problems, each containing a different type of partial differential equation as th...
متن کاملParallel Algorithms for PDE-Constrained Optimization
PDE-constrained optimization refers to the optimization of systems governed by partial differential equations (PDEs). The simulation problem is to solve the PDEs for the state variables (e.g. displacement, velocity, temperature, electric field, magnetic field, species concentration), given appropriate data (e.g. geometry, coefficients, boundary conditions, initial conditions, source functions)....
متن کاملInterior-Point Methods for PDE-Constrained Optimization
In applied sciences PDEs model an extensive variety of phenomena. Typically the final goal of simulations is a system which is optimal in a certain sense. For instance optimal control problems identify a control to steer a system towards a desired state. Inverse problems seek PDE parameters which are most consistent with measurements. In these optimization problems PDEs appear as equality const...
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ژورنال
عنوان ژورنال: Optimization and Engineering
سال: 2021
ISSN: ['1389-4420', '1573-2924']
DOI: https://doi.org/10.1007/s11081-021-09689-x