[图书][B] Numerical models for differential problems

A Quarteroni, S Quarteroni - 2009 - Springer
Alfio Quarteroni Third Edition Page 1 MS&A – Modeling, Simulation and Applications 16
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …

[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 …

Optimal control of the convection-diffusion equation using stabilized finite element methods

R Becker, B Vexler - Numerische Mathematik, 2007 - Springer
In this paper we analyze the discretization of optimal control problems governed by
convection-diffusion equations which are subject to pointwise control constraints. We …

Finite elements with local projection stabilization for incompressible flow problems

M Braack, G Lube - Journal of Computational Mathematics, 2009 - JSTOR
In this paper we review recent developments in the analysis of finite element methods for
incompressible flow problems with local projection stabilization (LPS). These methods …

[HTML][HTML] Balanced truncation model reduction for systems with inhomogeneous initial conditions

M Heinkenschloss, T Reis, AC Antoulas - Automatica, 2011 - Elsevier
We present a rigorous approach to extend balanced truncation model reduction (BTMR) to
systems with inhomogeneous initial conditions, we provide an estimate for the error between …

Reduced basis method and a posteriori error estimation for parametrized linear-quadratic optimal control problems

L Dede - SIAM Journal on Scientific Computing, 2010 - SIAM
We propose the reduced basis method for the solution of parametrized optimal control
problems described by parabolic partial differential equations in the unconstrained case …

Local error estimates for SUPG solutions of advection-dominated elliptic linear-quadratic optimal control problems

M Heinkenschloss, D Leykekhman - SIAM Journal on Numerical Analysis, 2010 - SIAM
We derive local error estimates for the discretization of optimal control problems governed
by linear advection-diffusion partial differential equations (PDEs) using the streamline …

Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables

H Antil, M Heinkenschloss, RHW Hoppe… - … and Visualization in …, 2010 - Springer
We introduce a technique for the dimension reduction of a class of PDE constrained
optimization problems governed by linear time dependent advection diffusion equations for …

Local error analysis of discontinuous Galerkin methods for advection-dominated elliptic linear-quadratic optimal control problems

D Leykekhman, M Heinkenschloss - SIAM Journal on Numerical Analysis, 2012 - SIAM
This paper analyzes the local properties of the symmetric interior penalty upwind
discontinuous Galerkin (SIPG) method for the numerical solution of optimal control problems …

Bilinear optimal control of an advection-reaction-diffusion system

R Glowinski, Y Song, X Yuan, H Yue - SIAM Review, 2022 - SIAM
We consider the bilinear optimal control of an advection-reaction-diffusion system, where the
control arises as the velocity field in the advection term. Such a problem is generally …