Searched for: author%3A%22Klawonn%2C+Axel%22
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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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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