[图书][B] Optimal control of partial differential equations

A Manzoni, A Quarteroni, S Salsa - 2021 - Springer
This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

IFISS: A computational laboratory for investigating incompressible flow problems

HC Elman, A Ramage, DJ Silvester - siam REVIEW, 2014 - SIAM
The Incompressible Flow & Iterative Solver Software (\ifiss) package contains software which
can be run with MATLAB or Octave to create a computational laboratory for the interactive …

Preconditioned conjugate gradient method for optimal control problems with control and state constraints

R Herzog, E Sachs - SIAM Journal on Matrix Analysis and Applications, 2010 - SIAM
Optimality systems and their linearizations arising in optimal control of partial differential
equations with pointwise control and (regularized) state constraints are considered. The …

A matrix-free trust-region SQP method for equality constrained optimization

M Heinkenschloss, D Ridzal - SIAM Journal on Optimization, 2014 - SIAM
We develop and analyze a trust-region sequential quadratic programming (SQP) method for
the solution of smooth equality constrained optimization problems, which allows the inexact …

A new analysis of block preconditioners for saddle point problems

Y Notay - SIAM journal on Matrix Analysis and Applications, 2014 - SIAM
We consider symmetric saddle point matrices. We analyze block preconditioners based on
the knowledge of a good approximation for both the top left block and the Schur complement …

Preconditioning iterative methods for the optimal control of the Stokes equations

T Rees, AJ Wathen - SIAM Journal on Scientific Computing, 2011 - SIAM
Solving problems regarding the optimal control of partial differential equations (PDEs)—also
known as PDE-constrained optimization—is a frontier area of numerical analysis. Of …

The conditioning of least‐squares problems in variational data assimilation

JM Tabeart, SL Dance, SA Haben… - … Linear Algebra with …, 2018 - Wiley Online Library
In variational data assimilation a least‐squares objective function is minimised to obtain the
most likely state of a dynamical system. This objective function combines observation and …

An adaptive finite element Moreau–Yosida-based solver for a coupled Cahn–Hilliard/Navier–Stokes system

M Hintermüller, M Hinze, C Kahle - Journal of Computational Physics, 2013 - Elsevier
An adaptive a posteriori error estimator based finite element method for the numerical
solution of a coupled Cahn–Hilliard/Navier–Stokes system with a double-obstacle …

Operator preconditioning for a class of inequality constrained optimal control problems

A Schiela, S Ulbrich - SIAM Journal on Optimization, 2014 - SIAM
We propose and analyze two strategies for preconditioning linear operator equations that
arise in PDE constrained optimal control in the framework of conjugate gradient methods …

Schwarz methods for the time-parallel solution of parabolic control problems

MJ Gander, F Kwok - Domain decomposition methods in science and …, 2016 - Springer
Discretized parabolic control problems lead to very large systems of equations, because
trajectories must be approximated forward and backward in time. It is therefore of interest to …