[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 …
Numerical Models for Di erential Problems Alfio Quarteroni Third Edition Page 2 MS&A Volume …
[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 …
Optimal control of the convection-diffusion equation using stabilized finite element methods
In this paper we analyze the discretization of optimal control problems governed by
convection-diffusion equations which are subject to pointwise control constraints. We …
convection-diffusion equations which are subject to pointwise control constraints. We …
Finite elements with local projection stabilization for incompressible flow problems
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 …
incompressible flow problems with local projection stabilization (LPS). These methods …
[HTML][HTML] Balanced truncation model reduction for systems with inhomogeneous initial conditions
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 …
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 …
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 …
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 …
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 …
discontinuous Galerkin (SIPG) method for the numerical solution of optimal control problems …
Bilinear optimal control of an advection-reaction-diffusion system
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 …
control arises as the velocity field in the advection term. Such a problem is generally …