Zobrazeno 1 - 10
of 304
pro vyhledávání: '"Hintermüller, Michael"'
Autor:
Dvurechensky, Pavel, Geiersbach, Caroline, Hintermüller, Michael, Kannan, Aswin, Kater, Stefan, Zöttl, Gregor
We present a novel model of a coupled hydrogen and electricity market on the intraday time scale, where hydrogen gas is used as a storage device for the electric grid. Electricity is produced by renewable energy sources or by extracting hydrogen from
Externí odkaz:
http://arxiv.org/abs/2410.20534
We develop a semismooth Newton framework for the numerical solution of fixed-point equations that are posed in Banach spaces. The framework is motivated by applications in the field of obstacle-type quasi-variational inequalities and implicit obstacl
Externí odkaz:
http://arxiv.org/abs/2409.19637
Autor:
Dong, Guozhi, Flaschel, Moritz, Hintermüller, Michael, Papafitsoros, Kostas, Sirotenko, Clemens, Tabelow, Karsten
In the field of quantitative imaging, the image information at a pixel or voxel in an underlying domain entails crucial information about the imaged matter. This is particularly important in medical imaging applications, such as quantitative Magnetic
Externí odkaz:
http://arxiv.org/abs/2404.07886
Quasi-variational inequalities (QVIs) of obstacle type in many cases have multiple solutions that can be ordered. We study a multitude of properties of the operator mapping the source term to the minimal or maximal solution of such QVIs. We prove tha
Externí odkaz:
http://arxiv.org/abs/2312.13879
Autor:
Hintermüller, Michael, Korolev, Denis
In this work, we study physics-informed neural networks (PINNs) constrained by partial differential equations (PDEs) and their application in approximating PDEs with two characteristic scales. From a continuous perspective, our formulation correspond
Externí odkaz:
http://arxiv.org/abs/2309.04439
The analysis and boundary optimal control of the nonlinear transport of gas on a network of pipelines is considered. The evolution of the gas distribution on a given pipe is modeled by an isothermal semilinear compressible Euler system in one space d
Externí odkaz:
http://arxiv.org/abs/2304.06137
We propose and analyze a numerical algorithm for solving a class of optimal control problems for learning-informed semilinear partial differential equations. The latter is a class of PDEs with constituents that are in principle unknown and are approx
Externí odkaz:
http://arxiv.org/abs/2210.07900
We consider a risk-averse optimal control problem governed by an elliptic variational inequality (VI) subject to random inputs. By deriving KKT-type optimality conditions for a penalised and smoothed problem and studying convergence of the stationary
Externí odkaz:
http://arxiv.org/abs/2210.03425