Searched for: author%3A%22Heinlein%2C+A.%22
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Zinßer, Mario (author), Braun, Benedikt (author), Helder, Tim (author), Magorian Friedlmeier, Theresa (author), Pieters, Bart (author), Heinlein, A. (author), Denk, Martin (author), Göddeke, Dominik (author), Powalla, Michael (author)
Abstract: We show that the concept of topology optimization for metallization grid patterns of thin-film solar devices can be applied to monolithically integrated solar cells. Different irradiation intensities favor different topological grid designs as well as a different thickness of the transparent conductive oxide (TCO) layer. For...
journal article 2022
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Heinlein, A. (author), Klawonn, Axel (author), Knepper, Jascha (author), Rheinbach, Oliver (author), Widlund, Olof B. (author)
A new reduced-dimension adaptive generalized Dryja-Smith-Widlund (GDSW) overlapping Schwarz method for linear second-order elliptic problems in three dimensions is introduced. It is robust with respect to large contrasts of the coefficients of the partial differential equations. The condition number bound of the new method is shown to be...
journal article 2022
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Heinlein, A. (author), Perego, Mauro (author), Rajamanickam, Sivasankaran (author)
Numerical simulations of Greenland and Antarctic ice sheets involve the solution of large-scale highly nonlinear systems of equations on complex shallow geometries. This work is concerned with the construction of Schwarz preconditioners for the solution of the associated tangent problems, which are challenging for solvers mainly because of...
journal article 2022
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Eichinger, Matthias (author), Heinlein, A. (author), Klawonn, Axel (author)
A convolution neural network (CNN)-based approach for the construction of reduced order surrogate models for computational fluid dynamics (CFD) simulations is introduced; it is inspired by the approach of Guo, Li, and Iori [X. Guo, W. Li, and F. Iorio, Convolutional neural networks for steady flow approximation, in Proceedings of the 22nd ACM...
journal article 2022
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Heinlein, A. (author), Klawonn, Axel (author), Lanser, Martin (author)
In this article, different nonlinear domain decomposition methods are applied to nonlinear problems with highly heterogeneous coefficient functions with jumps. In order to obtain a robust solver with respect to nonlinear as well as linear convergence, adaptive coarse spaces are employed. First, as an example for a nonlinearly left-preconditioned...
journal article 2022
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Heinlein, A. (author), Rheinbach, Oliver (author), Röver, Friederike (author)
The parallel performance of the three-level fast and robust overlapping Schwarz (FROSch) preconditioners is investigated for linear elasticity. The FROSch framework is part of the Trilinos software library and contains a parallel implementation of different preconditioners with energy minimizing coarse spaces of generalized Dryja--Smith--Widlund...
journal article 2022
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Frei, Stefan (author), Heinlein, A. (author), Richter, Thomas (author)
A temporal homogenization approach for the numerical simulation of atherosclerotic plaque growth is extended to fully coupled fluid-structure interaction (FSI) simulations. The numerical results indicate that the two-scale approach yields significantly different results compared to a simple heuristic averaging, where only stationary long-scale...
journal article 2021
Searched for: author%3A%22Heinlein%2C+A.%22
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