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  • An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs

    Yamazaki, I., Heinlein, A. & Rajamanickam, S., 2023, Proceedings of the 2023 IEEE International Parallel and Distributed Processing Symposium (IPDPS). O'Conner, L. (ed.). Piscataway: IEEE , p. 680-689 10 p. (Proceedings - 2023 IEEE International Parallel and Distributed Processing Symposium, IPDPS 2023).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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    6 Downloads (Pure)
  • A Short Note on Solving Partial Differential Equations Using Convolutional Neural Networks

    Grimm, V., Heinlein, A. & Klawonn, A., 2024, Domain Decomposition Methods in Science and Engineering XXVII. Dostal, Z., Kozubek, T., Klawonn, A., Pavarino, L. F., Widlund, O. B., Langer, U. & Sístek, J. (eds.). Springer, p. 3-14 12 p. (Lecture Notes in Computational Science and Engineering; vol. 149).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

  • Aspects of arterial wall simulations: Nonlinear anisotropic material models and fluid structure interaction

    Balzani, D., Deparis, S., Fausten, S., Forti, D., Heinlein, A., Klawonn, A., Quarteroni, A., Rheinbach, O. & Schröder, J., 2014, 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014. Huerta, A., Onate, E. & Oliver, X. (eds.). International Center for Numerical Methods in Engineering, p. 947-958 12 p. (11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    2 Citations (Scopus)
  • A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space

    Heinlein, A., Klawonn, A., Rheinbach, O. & Röver, F., 2022, Domain Decomposition Methods in Science and Engineering XXVI. Brenner, S. C., Klawonn, A., Xu, J., Chung, E., Zou, J. & Kwok, F. (eds.). Springer, p. 505-513 9 p. (Lecture Notes in Computational Science and Engineering; vol. 145).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    Open Access
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    1 Citation (Scopus)
    17 Downloads (Pure)
  • A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions

    Heinlein, A., Klawonn, A., Rheinbach, O. & Röver, F., 2020, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Haynes, R., MacLachlan, S., Cai, X-C., Halpern, L., Kim, H. H., Klawonn, A. & Widlund, O. (eds.). Springer, p. 185-192 8 p. (Lecture Notes in Computational Science and Engineering; vol. 138).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    6 Citations (Scopus)
  • A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions

    Heinlein, A., Klawonn, A., Rheinbach, O. & Röver, F., 2019, Advanced Finite Element Methods with Applications - Selected Papers from the 30th Chemnitz Finite Element Symposium 2017. Apel, T., Langer, U., Meyer, A. & Steinbach, O. (eds.). Springer, p. 187-204 18 p. (Lecture Notes in Computational Science and Engineering; vol. 128).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    10 Citations (Scopus)
  • Choosing the subregions in three-level frosch preconditioners

    Heinlein, A., Rheinbach, O. & Röver, F., 2021, 14th World Congress on Computational Mechanics (WCCM) ECCOMAS Congress 2020). Chinesta, F., Abgrall, R., Allix, O. & Kaliske, M. (eds.). Vol. 700. p. 1-6 6 p. (World Congress in Computational Mechanics and ECCOMAS Congress).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    3 Citations (Scopus)
  • Coarse Spaces for Nonlinear Schwarz Methods on Unstructured Grids

    Heinlein, A. & Lanser, M., 2020, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Haynes, R., MacLachlan, S., Cai, X-C., Halpern, L., Kim, H. H., Klawonn, A. & Widlund, O. (eds.). Springer, p. 268-276 9 p. (Lecture Notes in Computational Science and Engineering; vol. 138).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    1 Citation (Scopus)
  • Finite Basis Physics-Informed Neural Networks as a Schwarz Domain Decomposition Method

    Dolean, V., Heinlein, A., Mishra, S. & Moseley, B., 2024, Domain Decomposition Methods in Science and Engineering XXVII. Dostal, Z., Kozubek, T., Klawonn, A., Pavarino, L. F., Widlund, O. B., Langer, U. & Sístek, J. (eds.). Springer, p. 165-172 8 p. (Lecture Notes in Computational Science and Engineering; vol. 149).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

  • FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos

    Heinlein, A., Klawonn, A., Rajamanickam, S. & Rheinbach, O., 2020, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Haynes, R., MacLachlan, S., Cai, X-C., Halpern, L., Kim, H. H., Klawonn, A. & Widlund, O. (eds.). Springer, p. 176-184 9 p. (Lecture Notes in Computational Science and Engineering; vol. 138).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    6 Citations (Scopus)
  • Fully Algebraic Two-Level Overlapping Schwarz Preconditioners for Elasticity Problems

    Heinlein, A., Hochmuth, C. & Klawonn, A., 2021, Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Vermolen, F. J. & Vuik, C. (eds.). Springer, p. 531-539 9 p. (Lecture Notes in Computational Science and Engineering; vol. 139).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    3 Citations (Scopus)
  • Local Spectra of Adaptive Domain Decomposition Methods

    Heinlein, A., Klawonn, A. & Kühn, M. J., 2020, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Haynes, R., MacLachlan, S., Cai, X-C., Halpern, L., Kim, H. H., Klawonn, A. & Widlund, O. (eds.). Springer, p. 167-175 9 p. (Lecture Notes in Computational Science and Engineering; vol. 138).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    3 Citations (Scopus)
  • Machine Learning in Adaptive FETI-DP: Reducing the Effort in Sampling

    Heinlein, A., Klawonn, A., Lanser, M. & Weber, J., 2021, Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Vermolen, F. J. & Vuik, C. (eds.). Springer, p. 593-603 11 p. (Lecture Notes in Computational Science and Engineering; vol. 139).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    4 Citations (Scopus)
  • Machine Learning in Adaptive FETI-DP – A Comparison of Smart and Random Training Data

    Heinlein, A., Klawonn, A., Lanser, M. & Weber, J., 2020, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Haynes, R., MacLachlan, S., Cai, X-C., Halpern, L., Kim, H. H., Klawonn, A. & Widlund, O. (eds.). Springer, p. 218-226 9 p. (Lecture Notes in Computational Science and Engineering; vol. 138).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    4 Citations (Scopus)
  • Parallel overlapping Schwarz with an energy-minimizing coarse space

    Heinlein, A., Klawonn, A. & Rheinbach, O., 2017, Domain Decomposition Methods in Science and Engineering XXIII. Kim, H. H., Klawonn, A., Park, E-J., Lee, C-O., Widlund, O. B., Cai, X-C. & Keyes, D. E. (eds.). Springer, p. 353-360 8 p. (Lecture Notes in Computational Science and Engineering; vol. 116).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    4 Citations (Scopus)
  • Parallel two-level overlapping Schwarz methods in fluid-structure interaction

    Heinlein, A., Klawonn, A. & Rheinbach, O., 2016, Numerical Mathematics and Advanced Applications ENUMATH 2015. Manguoglu, M., Karasozen, B., Tezer-Sezgin, M., Ugur, O., Tezer-Sezgin, M., Manguoglu, M., Ugur, O., Goktepe, S., Ugur, O., Tezer-Sezgin, M., Manguoglu, M., Karasozen, B., Karasozen, B., Goktepe, S. & Goktepe, S. (eds.). Springer, p. 521-530 10 p. (Lecture Notes in Computational Science and Engineering; vol. 112).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    8 Citations (Scopus)
  • Predicting the Geometric Location of Critical Edges in Adaptive GDSW Overlapping Domain Decomposition Methods Using Deep Learning

    Heinlein, A., Klawonn, A., Lanser, M. & Weber, J., 2022, Domain Decomposition Methods in Science and Engineering XXVI. Brenner, S. C., Klawonn, A., Xu, J., Chung, E., Zou, J. & Kwok, F. (eds.). Springer, p. 307-315 9 p. (Lecture Notes in Computational Science and Engineering; vol. 145).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    Open Access
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    16 Downloads (Pure)
  • Stationary Flow Predictions Using Convolutional Neural Networks

    Eichinger, M., Heinlein, A. & Klawonn, A., 2021, Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Vermolen, F. J. & Vuik, C. (eds.). Springer, p. 541-549 9 p. (Lecture Notes in Computational Science and Engineering; vol. 139).

    Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

    6 Citations (Scopus)