Variational data assimilation for transient blood flow simulations: Cerebral aneurysms as an illustrative example
Several cardiovascular diseases are caused from localised abnormal blood flow such as in
the case of stenosis or aneurysms. Prevailing theories propose that the development is …
the case of stenosis or aneurysms. Prevailing theories propose that the development is …
Optimal control problem via neural networks
S Effati, M Pakdaman - Neural Computing and Applications, 2013 - Springer
This paper attempts to propose a new method based on capabilities of artificial neural
networks, in function approximation, to attain the solution of optimal control problems. To do …
networks, in function approximation, to attain the solution of optimal control problems. To do …
Adaptive multilevel inexact SQP methods for PDE-constrained optimization
JC Ziems, S Ulbrich - SIAM Journal on Optimization, 2011 - SIAM
We present a class of inexact adaptive multilevel trust-region SQP methods for the efficient
solution of optimization problems governed by nonlinear PDEs. The algorithm starts with a …
solution of optimization problems governed by nonlinear PDEs. The algorithm starts with a …
Approximating the solution of optimal control problems by fuzzy systems
M Pakdaman, S Effati - Neural Processing Letters, 2016 - Springer
In this paper, the ability of fuzzy systems is used to estimate the solution of crisp optimal
control problems. To solve an optimal control problem, first the well-known Euler–Lagrange …
control problems. To solve an optimal control problem, first the well-known Euler–Lagrange …
Neural Networks Simulation of Distributed SEIR System
T Kmet, M Kmetova, L Végh - Mathematics, 2023 - mdpi.com
In this paper, a neural network-based optimal control synthesis is presented for distributed
optimal control problems. We deal with solutions of systems controlled by parabolic …
optimal control problems. We deal with solutions of systems controlled by parabolic …
Generalized multilevel SQP-methods for PDAE-constrained optimization based on space-time adaptive PDAE solvers
In this work, we present an all-in-one optimization approach suitable to solve complex
optimal control problems with time-dependent nonlinear partial differential algebraic …
optimal control problems with time-dependent nonlinear partial differential algebraic …
Adaptive multilevel inexact SQP-methods for PDE-constrained optimization with control constraints
JC Ziems - SIAM Journal on Optimization, 2013 - SIAM
We consider the inexact adaptive multilevel SQP-method from [JC Ziems and S. Ulbrich,
SIAM J. Optim., 21 (2011), pp. 1--40] for the efficient solution of optimization problems …
SIAM J. Optim., 21 (2011), pp. 1--40] for the efficient solution of optimization problems …
Adaptive symmetric interior penalty Galerkin method for boundary control problems
We investigate an a posteriori error analysis of adaptive finite element approximations of
linear-quadratic boundary optimal control problems under bilateral box constraints, which …
linear-quadratic boundary optimal control problems under bilateral box constraints, which …
Adaptive multilevel trust-region methods for time-dependent PDE-constrained optimization
S Ulbrich, JC Ziems - Portugaliae Mathematica, 2017 - ems.press
We present a class of adaptive multilevel trust-region methods for the efficient solution of
optimization problems governed by time-dependent nonlinear partial differential equations …
optimization problems governed by time-dependent nonlinear partial differential equations …
Neural networks simulation of distributed control problems with state and control constraints
T Kmet, M Kmetova - Artificial Neural Networks and Machine Learning …, 2016 - Springer
This paper is concerned with distributed optimal control problem. An adaptive critic neural
networks solution is proposed to solve optimal distributed control problem for systems …
networks solution is proposed to solve optimal distributed control problem for systems …