[图书][B] Optimal control of partial differential equations
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 …
suitable mathematical framework for their analysis, how to approximate them numerically …
IFISS: A computational laboratory for investigating incompressible flow problems
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 …
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
Optimality systems and their linearizations arising in optimal control of partial differential
equations with pointwise control and (regularized) state constraints are considered. The …
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 …
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 …
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 …
known as PDE-constrained optimization—is a frontier area of numerical analysis. Of …
The conditioning of least‐squares problems in variational data assimilation
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 …
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
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 …
solution of a coupled Cahn–Hilliard/Navier–Stokes system with a double-obstacle …
Operator preconditioning for a class of inequality constrained optimal control problems
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 …
arise in PDE constrained optimal control in the framework of conjugate gradient methods …
Schwarz methods for the time-parallel solution of parabolic control problems
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 …
trajectories must be approximated forward and backward in time. It is therefore of interest to …