Zobrazeno 1 - 10
of 298
pro vyhledávání: '"Mechelli, Luca"'
The work is organized as follows. First an introduction is given in Chapter 1. In Chapter 2 we introduce the POD method in finite and infinite-dimensional Hilbert spaces and discuss various applications. Chapter 3 is devoted to to POD-based Galerkin
Externí odkaz:
http://arxiv.org/abs/2404.07015
In the present paper non-convex multi-objective parameter optimization problems are considered which are governed by elliptic parametrized partial differential equations (PDEs). To solve these problems numerically the Pascoletti-Serafini scalarizatio
Externí odkaz:
http://arxiv.org/abs/2201.07744
Autor:
Casper, Sabrina, Fuertinger, Doris H., Kotanko, Peter, Mechelli, Luca, Rohleff, Jan, Volkwein, Stefan
This project is based on a mathematical model of erythropoiesis for anemia, which consists of five hyperbolic population equations describing the production of red blood cells under treatment with epoetin-alfa (EPO). Extended dynamic mode decompositi
Externí odkaz:
http://arxiv.org/abs/2106.11733
Autor:
Ciaramella, Gabriele, Mechelli, Luca
In contrast with classical Schwarz theory, recent results have shown that for special domain geometries, one-level Schwarz methods can be scalable. This property has been proved for the Laplace equation and external Dirichlet boundary conditions. Muc
Externí odkaz:
http://arxiv.org/abs/2103.14848
Autor:
Ciaramella, Gabriele, Mechelli, Luca
In this work, a class of parabolic economic optimal control problems is considered. These problems are characterized by pointwise state constraints regularized by a parameter, which transforms the pure state constraints in mixed control-state ones. H
Externí odkaz:
http://arxiv.org/abs/2103.14849
Autor:
Andrej, Julian, Grüne, Lars, Mechelli, Luca, Meurer, Thomas, Pirkelmann, Simon, Volkwein, Stefan
Motivated by an energy efficient building application, we want to optimize a quadratic cost functional subject to the Boussinesq approximation of the Navier-Stokes equations and to bilateral state and control constraints. Since the computation of suc
Externí odkaz:
http://arxiv.org/abs/2101.04343
Autor:
Banholzer, Stefan, Keil, Tim, Mechelli, Luca, Ohlberger, Mario, Schindler, Felix, Volkwein, Stefan
In this contribution we device and analyze improved variants of the non-conforming dual approach for trust-region reduced basis (TR-RB) approximation of PDE-constrained parameter optimization that has recently been introduced in [Keil et al.. A non-c
Externí odkaz:
http://arxiv.org/abs/2012.11653
Publikováno v:
In Journal of Computational Physics 1 January 2024 496
In this contribution we propose and rigorously analyze new variants of adaptive Trust-Region methods for parameter optimization with PDE constraints and bilateral parameter constraints. The approach employs successively enriched Reduced Basis surroga
Externí odkaz:
http://arxiv.org/abs/2006.09297
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