publications

Alexander Heinlein's publications in reversed chronological order.

2023

      2022

      1. SISC
        Parallel Scalability of Three-Level FROSch Preconditioners to 220 000 Cores using the Theta Supercomputer
        Heinlein, Alexander, Rheinbach, Oliver, and Röver, Friederike
        SIAM Journal on Scientific Computing. 2022
      2. SISC
        Adaptive nonlinear domain decomposition methods
        Heinlein, Alexander, Klawonn, Axel, and Lanser, Martin
        SIAM Journal on Scientific Computing. 2022
      3. MRS Advances
        Irradiation-dependent Topology Optimization of Metallization Grid Patterns and Variation of Contact Layer Thickness used for Latitude-based Yield Gain of Thin-film Solar Modules
        Zinßer, Mario, Braun, Benedikt, Helder, Tim, Friedlmeier, Theresa Magorian, Pieters, Bart, Heinlein, Alexander, Denk, Martin, Göddeke, Dominik, and Powalla, Michael
        MRS Advances. 2022
      4. SISC
        Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods
        SIAM Journal on Scientific Computing. 2022
      5. SISC
        FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
        Heinlein, Alexander, Perego, Mauro, and Rajamanickam, Sivasankaran
        SIAM Journal on Scientific Computing. 2022
      6. ETNA
        Surrogate convolutional neural network models for steady computational fluid dynamics simulations
        Eichinger, Matthias, Heinlein, Alexander, and Klawonn, Axel
        Electronic Transactions on Numerical Analysis (ETNA). 2022
      7. ETNA
        Estimating the time-dependent contact rate of SIR and SEIR models in mathematical epidemiology using physics-informed neural networks
        Electronic Transactions on Numerical Analysis (ETNA). 2022

        2021

        1. SISC
          Combining Machine Learning and Adaptive Coarse Spaces - A Hybrid Approach for Robust FETI-DP Methods in Three Dimensions
          Heinlein, Alexander, Klawonn, Axel, Lanser, Martin, and Weber, Janine
          SIAM Journal on Scientific Computing. 2021
        2. GAMM-Mitteilungen
          Combining Machine Learning and Domain Decomposition Methods for the Solution of Partial Differential Equations – A Review
          Heinlein, Alexander, Klawonn, Axel, Lanser, Martin, and Weber, Janine
          GAMM-Mitteilungen. 2021
        1. PAMM
          On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
          Frei, Stefan, Heinlein, Alexander, and Richter, Thomas
          In PAMM 2021
        2. Springer LNCSE
          Stationary flow predictions using convolutional neural networks
          Eichinger, Matthias, Heinlein, Alexander, and Klawonn, Axel
          In Numerical Mathematics and Advanced Applications ENUMATH 2019 2021
        3. Springer LNCSE
          Fully algebraic two-level overlapping Schwarz preconditioners for elasticity problems
          Heinlein, Alexander, Hochmuth, Christian, and Klawonn, Axel
          In Numerical Mathematics and Advanced Applications ENUMATH 2019 2021
        4. Springer LNCSE
          Machine Learning in Adaptive Domain Decomposition Methods - Reducing the Effort in Sampling
          Heinlein, Alexander, Klawonn, Axel, Lanser, Martin, and Weber, Janine
          In Numerical Mathematics and Advanced Applications ENUMATH 2019 2021
        5. WCCM-ECCOMAS
          Choosing the Subregions in Three-Level FROSch Preconditioners
          Heinlein, Alexander, Rheinbach, Oliver, and Röver, Friederike
          In WCCM-ECCOMAS2020 2021

        2020

        1. ETNA
          A Frugal FETI-DP and BDDC Coarse Space for Heterogeneous Problems
          Heinlein, Alexander, Klawonn, Axel, Lanser, Martin, and Weber, Janine
          Electronic Transactions on Numerical Analysis (ETNA). 2020
        2. SISC
          Additive and Hybrid Nonlinear Two-Level Schwarz Methods and Energy Minimizing Coarse Spaces for Unstructured Grids
          Heinlein, Alexander, and Lanser, Martin
          SIAM Journal on Scientific Computing. 2020
        3. IJNME
          Reduced Dimension GDSW Coarse Spaces for Monolithic Schwarz Domain Decomposition Methods for Incompressible Fluid Flow Problems
          Heinlein, Alexander, Hochmuth, Christian, and Klawonn, Axel
          International Journal for Numerical Methods in Engineering. 2020
        1. Springer LNCSE
          Coarse Spaces for Nonlinear Schwarz Methods on Unstructured Grids
          Heinlein, Alexander, and Lanser, Martin
          In Domain Decomposition Methods in Science and Engineering XXV 2020
        2. Springer LNCSE
          Machine Learning in Adaptive FETI-DP - A Comparison of Smart and Random Training Data
          Heinlein, Alexander, Klawonn, Axel, Lanser, Martin, and Weber, Janine
          In Domain Decomposition Methods in Science and Engineering XXV 2020
        3. Springer LNCSE
          Local spectra of adaptive domain decomposition methods
          Heinlein, Alexander, Klawonn, Axel, and Kühn, Martin
          In Domain Decomposition Methods in Science and Engineering XXV 2020
        4. Springer LNCSE
          FROSch: A Fast And Robust Overlapping Schwarz Domain Decomposition Preconditioner Based on Xpetra in Trilinos
          In Domain Decomposition Methods in Science and Engineering XXV 2020
        5. Springer LNCSE
          A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions
          In Domain Decomposition Methods in Science and Engineering XXV 2020

        2019

        1. SISC
          Machine Learning in Adaptive Domain Decomposition Methods - Predicting the Geometric Location of Constraints
          Heinlein, Alexander, Klawonn, Axel, Lanser, Martin, and Weber, Janine
          SIAM Journal on Scientific Computing. 2019
        2. SISC
          Adaptive GDSW Coarse Spaces for Overlapping Schwarz Methods in Three Dimensions
          Heinlein, Alexander, Klawonn, Axel, Knepper, Jascha, and Rheinbach, Oliver
          SIAM Journal on Scientific Computing. 2019
        3. SISC
          Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems
          Heinlein, Alexander, Hochmuth, Christian, and Klawonn, Axel
          SIAM Journal on Scientific Computing. 2019
        1. Springer LNCSE
          A Three-Level Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions
          In Advanced Finite Element Methods with Applications: Selected Papers from the 30th Chemnitz Finite Element Symposium 2017 2019
        2. Springer LNCSE
          Improving the Parallel Performance of Overlapping Schwarz Methods by Using a Smaller Energy Minimizing Coarse Space
          Heinlein, Alexander, Klawonn, Axel, Rheinbach, Oliver, and Widlund, Olof
          In Domain Decomposition Methods in Science and Engineering XXIV 2019
        3. Springer LNCSE
          An Adaptive GDSW Coarse Space for Two-Level Overlapping Schwarz Methods in Two Dimensions
          Heinlein, Alexander, Klawonn, Axel, Knepper, Jascha, and Rheinbach, Oliver
          In Domain Decomposition Methods in Science and Engineering XXIV 2019
        4. PAMM
          Applying the FROSch Overlapping Schwarz Preconditioner to Dislocation Mechanics in Deal.II
          Heinlein, Alexander, Rheinbach, Oliver, Röver, Friederike, Sandfeld, Stefan, and Steinberger, Dominik
          In PAMM 2019
        5. PAMM
          Comparison of MRI measurements and CFD simulations of hemodynamics in intracranial aneurysms using a 3D printed model - A benchmark problem
          Giese, Daniel, Heinlein, Alexander, Klawonn, Axel, Knepper, Jascha, and Sonnabend, Kristina
          In PAMM 2019
        6. PAMM
          Comparison of MRI measurements and CFD simulations of hemodynamics in intracranial aneurysms using a 3D printed model - Influence of noisy MRI measurements
          Giese, Daniel, Heinlein, Alexander, Klawonn, Axel, Knepper, Jascha, and Sonnabend, Kristina
          In PAMM 2019

        2018

        1. ETNA
          Multiscale coarse spaces for overlapping Schwarz methods based on the ACMS space in 2D
          Heinlein, Alexander, Klawonn, Axel, Knepper, Jascha, and Rheinbach, Oliver
          Electronic Transactions on Numerical Analysis (ETNA). 2018
        1. PAMM
          Remarks on Fluid-Structure Interaction Simulations in Realistic Arterial Geometries with regard to the Transmural Stress Distribution
          Fausten, Simon, Balzani, Daniel, Heinlein, Alexander, Klawonn, Axel, Rheinbach, Oliver, and Schröder, Jörg
          In PAMM 2018

        2017

          1. Springer LNCSE
            Parallel Overlapping Schwarz with an Energy-Minimizing Coarse Space
            Heinlein, Alexander, Klawonn, Axel, and Rheinbach, Oliver
            In Domain Decomposition Methods in Science and Engineering XXIII 2017
          2. PAMM
            Steps Towards More Realistic FSI Simulations of Coronary Arteries
            Fausten, Simon, Balzani, Daniel, Heinlein, Alexander, Klawonn, Axel, Rheinbach, Oliver, and Schröder, Jörg
            In PAMM 2017

          2016

          1. SISC
            A parallel implementation of a two-level overlapping Schwarz method with energy-minimizing coarse space based on Trilinos
            Heinlein, Alexander, Klawonn, Axel, and Rheinbach, Oliver
            SIAM Journal on Scientific Computing. 2016
          2. IJNMBE
            Numerical modeling of fluid-structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains
            Balzani, Daniel, Deparis, Simone, Fausten, Simon, Forti, Davide, Heinlein, Alexander, Klawonn, Axel, Quarteroni, Alfio, Rheinbach, Oliver, and Schröder, Jörg
            International Journal for Numerical Methods in Biomedical Engineering. 2016
          1. Springer LNCSE
            Parallel Two-Level Overlapping Schwarz Methods in Fluid-Structure Interaction
            Heinlein, Alexander, Klawonn, Axel, and Rheinbach, Oliver
            In Numerical Mathematics and Advanced Applications ENUMATH 2015 2016

          2015

          1. JCAM
            The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results
            Heinlein, Alexander, Hetmaniuk, Ulrich, Klawonn, Axel, and Rheinbach, Oliver
            Journal of Computational and Applied Mathematics. 2015
            Sixth International Conference on Advanced Computational Methods in Engineering (ACOMEN 2014)
          1. PAMM
            A Comparison of Preconditioners for the Steklov–Poincaré Formulation of the Fluid-Structure Coupling in Hemodynamics
            Deparis, Simone, Forti, Davide, Heinlein, Alexander, Klawonn, Axel, Quarteroni, Alfio, and Rheinbach, Oliver
            In PAMM 2015

          2014

            1. WCCM XI
              Aspects of Arterial Wall Simulations: Nonlinear Anisotropic Material Models and Fluid Structure Interaction
              Balzani, Daniel, Deparis, Simone, Fausten, Simon, Forti, Davide, Heinlein, Alexander, Klawonn, Axel, Quarteroni, Alfio, Rheinbach, Oliver, and Schröder, Jörg
              In Proceedings of the WCCM XI 2014

            theses

            1. PhD Thesis
              Parallel Overlapping Schwarz Preconditioners and Multiscale Discretizations with Applications to Fluid-Structure Interaction and Highly Heterogeneous Problems
              Heinlein, Alexander
              Universität zu Köln 2016

            accepted

            1. Springer LNCSE
              A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space
              In Domain Decomposition Methods in Science and Engineering XXVI 2023
            2. Springer LNCSE
              Predicting the geometric location of critical edges in adaptive GDSW overlapping domain decomposition methods using deep learning
              Heinlein, Alexander, Klawonn, Axel, Lanser, Martin, and Weber, Janine
              In Domain Decomposition Methods in Science and Engineering XXVI 2023
            3. IPDPS
              An Experimental Study of Two-level Schwarz Domain-Decomposition Preconditioners on GPUs
              Yamazaki, Ichitaro, Heinlein, Alexander, and Rajamanickam, Sivasankaran
              Accepted for publication in the IPDPS’23 proceedings. December 2022
            4. PAMM
              Reduced order fluid modeling with generative adversarial networks
              Kemna, Mirko, Heinlein, Alexander, and Vuik, Cornelis
              Accepted for publication in PAMM. December 2022

            submitted

            1. PAMM
              First steps towards modeling the interaction of cardiovascular agents and smooth muscle activation in arterial walls
              Ramesh, Sharan Nurani, Uhlmann, Klemens, Saßmannshausen, Lea, Rheinbach, Oliver, Klawonn, Axel, Heinlein, Alexander, and Balzani, Daniel
              Accepted for publication in PAMM. December 2022
            2. A short note on solving partial differential equations using convolutional neural networks
              Grimm, Viktor, Heinlein, Alexander, and Klawonn, Axel
              Submitted November 2022
            3. Finite basis physics-informed neural networks as a Schwarz domain decomposition method
              Submitted November 2022
            4. Physics-informed neural networks for nonlinear vorticity equation on a rotating sphere
              Mache, Ramiyou Karim, Langguth, Michael, Heinlein, Alexander, Stadtler, Scarlet, Schultz, Martin G., and Klawonn, Axel
              Submitted September 2022
            5. A Multi-Level Extension of the GDSW Overlapping Schwarz Preconditioner
              Heinlein, Alexander, Rheinbach, Oliver, and Röver, Friederike
              Submitted August 2022
            6. A fully algebraic and robust two-level Schwarz method based on optimal local approximation spaces
              Heinlein, Alexander, and Smetana, Kathrin
              Submitted August 2022
            7. Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth
              Frei, Stefan, and Heinlein, Alexander
              Submitted March 2022
            8. Comparison of Arterial Wall Models in Fluid-Structure Interaction Simulations
              Submitted March 2022
            9. Efficient coarse correction for parallel time-stepping in plaque growth simulations
              Frei, Stefan, and Heinlein, Alexander
              Submitted July 2022