Zobrazeno 1 - 10
of 260
pro vyhledávání: '"Hintermüller P"'
We develop a weak adversarial approach to solving obstacle problems using neural networks. By employing (generalised) regularised gap functions and their properties we rewrite the obstacle problem (which is an elliptic variational inequality) as a mi
Externí odkaz:
http://arxiv.org/abs/2411.18565
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
Publikováno v:
Current Directions in Biomedical Engineering, Vol 10, Iss 3, Pp 1-4 (2024)
The Electro Cardio Gram is a very valuable clinical tool to access the electric function of the heart. It provides insight into the different phases of the heart beat and various kinds of disorders which may affect them. In the past decades various a
Externí odkaz:
https://doaj.org/article/4ea574a9cd27477f8298bfa847cd9ad8
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