Variational data assimilation for transient blood flow simulations: Cerebral aneurysms as an illustrative example

SW Funke, M Nordaas, Ø Evju… - … journal for numerical …, 2019 - Wiley Online Library
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 …

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 …

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 …

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 …

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 …

Generalized multilevel SQP-methods for PDAE-constrained optimization based on space-time adaptive PDAE solvers

D Clever, J Lang, S Ulbrich, C Ziems - Constrained optimization and …, 2012 - Springer
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 …

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 …

Adaptive symmetric interior penalty Galerkin method for boundary control problems

P Benner, H Yücel - SIAM Journal on Numerical Analysis, 2017 - SIAM
We investigate an a posteriori error analysis of adaptive finite element approximations of
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 …

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 …