Matti Schneider

© UDE

Prof. Dr.Matti Schneider

Head of the Institute

Contact

Room: V15 R04 H23 (Directions)
Tel.: +49 201 - 183 6501
matti.schneider@uni-due.de

Address

Universität Duisburg-Essen
Abteilung Bauwissenschaften
Institut für Ingenieurmathematik
Universitätsstr. 2
45141 Essen
V15 R04 H23

Courses

  • Mathematik 1 für Bauwissenschaften
  • Mathematik 2 für Bauwissenschaften
  • Digital Microstructure Characterization and Modeling
  • Computational Micromechanics
  • Nonlinear Optimization Methods
More

Recent publications

    2026

  • Bhat Keelanje Srinivas, Pavan; Kabel, Matthias; Schneider, Matti
    Rapid Offline Training for Deep Material Networks via a displacement-based laminate formulation and a novel sampling technique for a compliance-based fatigue model
    In: Computer Methods in Applied Mechanics and Engineering, Vol. 449, 2026, Nr. Part A, 118517
    DOI, Online Full Text (Open Access)
  • Nguyen, Binh Huy; Schneider, Matti
    Symmetries in stochastic homogenization and adjustments for the RVE method
    In: International Journal of Solids and Structures, Vol. 325, 2026, 113728
    DOI, Online Full Text (Open Access)
  • Nguyen, Binh Huy; Schneider, Matti
    Universal Fourier Neural Operators for periodic homogenization problems in linear elasticity
    In: Journal of the Mechanics and Physics of Solids, Vol. 206, 2026, 106418
    DOI, Online Full Text (Open Access)

    • 2025

  • Jabs, Lukas; Schneider, Matti
    A consistent discretization via the finite radon transform for FFT-based computational micromechanics
    In: Computational Mechanics, Vol. 75, 2025, Nr. 5, pp. 1451 – 1470
    DOI, Online Full Text (Open Access)
  • Donval, Elodie; Schneider, Matti; Grimm-Strele, Hannes; Godehardt, Michael; Burger, Raphael; Lechner, Philipp; Günther, Daniel; Andrä, Heiko
    A directional contraction method to model sand-based binder jet 3D printed materials
    In: International Journal of Solids and Structures, Vol. 312, 2025, 113260
    DOI, Online Full Text (Open Access)
  • Lendvai, Jonas; Kabel, Matthias; Schneider, Matti
    Accurate and consistent composite voxel methods for digital images in computational micromechanics
    In: Computational Mechanics, 2025, in press
    DOI, Online Full Text (Open Access)
  • Gehrig, Flavia; Schneider, Matti
    An X-FFT Solver for Two-Dimensional Thermal Homogenization Problems
    In: International Journal for Numerical Methods in Engineering, Vol. 126, 2025, Nr. 7, e70022
    DOI, Online Full Text (Open Access)
  • Donval, Elodie; Schneider, Matti
    Convergence of Damped Polarization Schemes for the FFT‐Based Computational Homogenization of Inelastic Media With Pores
    In: International Journal for Numerical Methods in Engineering, Vol. 126, 2025, Nr. 3, e7632
    DOI, Online Full Text (Open Access)
  • Sterr, Benedikt; Gajek, Sebastian; Hrymak, Andrew; Schneider, Matti; Böhlke, Thomas
    Deep Material Networks for Fiber Suspensions With Infinite Material Contrast
    In: International Journal for Numerical Methods in Engineering, Vol. 126, 2025, Nr. 7, e70014
    DOI (Open Access)
  • Gehrig, Flavia; Schneider, Matti
    Element-Based Internal Variable Formulations for Finite Element Discretizations in FFT-Based Homogenization Methods
    In: International Journal for Numerical Methods in Engineering, Vol. 126, 2025, Nr. 21, e70170
    DOI, Online Full Text (Open Access)
  • Sterr, Benedikt; Hrymak, Andrew; Schneider, Matti; Böhlke, Thomas
    Machine learning assisted discovery of effective viscous material laws for shear-thinning fiber suspensions
    In: Computational Mechanics, Vol. 75, 2025, pp. 51 – 69
    DOI (Open Access)
  • Lauff, Celine; Schneider, Matti; Böhlke, Thomas
    Microstructure generation of long fiber reinforced hybrid composites using the fused sequential addition and migration method
    In: Journal of Thermoplastic Composite Materials, Vol. 38, 2025, Nr. 8, pp. 2855 – 2893
    DOI, Online Full Text (Open Access)
  • Ravichandran, Shreyas Karthik; Nguyen, Binh; Schneider, Matti
    Quantifying the systematic and the random error for linear elastic particle-reinforced composites and reducing the variance by fixing the volume fraction
    In: Computational Mechanics, 2025, in press
    DOI (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Robust and Efficient FFT-Based Solvers for Unit-Cell Problems With Voids and Pores Under Displacement Boundary Conditions
    In: International Journal for Numerical Methods in Engineering, Vol. 126, 2025, Nr. 18, e70124
    DOI, Online Full Text (Open Access)

    • 2024

  • Mehta, Alok; Schneider, Matti
    A comparison of numerical methods for computing the exact closure for short‐fiber composites
    94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18-22.03.2024, Otto von Guericke University Magdeburg,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 24, 2024, Nr. 4, Special Issue: 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202400202
    DOI, Online Full Text (Open Access)
  • Mehta, Alok; Schneider, Matti
    A maximum-entropy length-orientation closure for short-fiber reinforced composites
    In: Computational Mechanics, Vol. 74, 2024, pp. 615 – 640
    DOI, Online Full Text (Open Access)
  • Kabel, Matthias; Schneider, Matti
    Adaptive material evaluation by stabilized octree and sandwich coarsening in FFT-based computational micromechanics
    In: International Journal for Numerical Methods in Engineering, Vol. 125, 2024, Nr. 5, e7399
    DOI, Online Full Text (Open Access)
  • Lendvai, Jonas; Schneider, Matti
    Assumed strain methods in micromechanics, laminate composite voxels and level sets
    In: International Journal for Numerical Methods in Engineering, Vol. 125, 2024, Nr. 11, e7459
    DOI, Online Full Text (Open Access)
  • Lendvai, Jonas; Schneider, Matti
    Computing laminate composite voxel properties using Mirtich formulas
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 24, 2024, Nr. 3, e202400191
    DOI, Online Full Text (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Dirichlet Boundary Conditions for FFT‐Based Micromechanics of Bicontinuous Stochastic Microstructures
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 24, 2024, Nr. 4, e202400182
    DOI, Online Full Text (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    FFT-based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid
    In: International Journal for Numerical Methods in Engineering, Vol. 125, 2024, Nr. 21, e7569
    DOI, Online Full Text (Open Access)
  • Lauff, Celine; Schneider, Matti; Montesano, John; Böhlke, Thomas
    Generating microstructures of long fiber reinforced composites by the fused sequential addition and migration method
    In: International Journal for Numerical Methods in Engineering, Vol. 125, 2024, Nr. 22, e7573
    DOI, Online Full Text (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics
    In: Computational Mechanics, Vol. 74, 2024, Nr. 5, pp. 1089 – 1113
    DOI, Online Full Text (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Imposing different boundary conditions for thermal computational homogenization problems with FFT- and tensor-train-based Green's operator methods
    In: International Journal for Numerical Methods in Engineering, Vol. 125, 2024, Nr. 7, e7423
    DOI (Open Access)
  • Dey, Argha Protim; Welschinger, Fabian; Schneider, Matti; Köbler, Jonathan; Böhlke, Thomas
    On the effectiveness of deep material networks for the multi-scale virtual characterization of short fiber-reinforced thermoplastics under highly nonlinear load cases
    In: Archive of Applied Mechanics, Vol. 94, 2024, Nr. 5, pp. 1177 – 1202
    DOI (Open Access)
  • Jabs, Lukas; Schneider, Matti
    On the finite Radon transform for the computational homogenization of conductivity
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 24, 2024, Nr. 4, e202400189
    DOI, Online Full Text (Open Access)
  • Schneider, Matti
    Fast-Fourier Methods and Homogenization
    In: Comprehensive Mechanics of Materials: Vol. 2: Experimental and Computational Mechanics of Materials. San Diego: Elsevier, 2024, pp. 267 – 293
    DOI
  • Lendvai, Jonas; Schneider, Matti
    Level-set based composite voxels for FFT-based computational homogenization of thermal conductivity
    In: 9th European Congress on Computational Methods in Applied Sciences and Engineering / 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), 3–7 June 2024, Lisboa, Portugal; European Congress on Computational Methods in Applied Sciences and Engineering. Lissabon: CIMNE, 2024
    DOI, Online Full Text (Open Access)

    • 2023

  • Meyer, Nils; Gajek, Sebastian; Görthofer, Johannes; Hrymak, Andrew; Kärger, Luise; Henning, Frank; Schneider, Matti; Böhlke, Thomas
    A probabilistic virtual process chain to quantify process-induced uncertainties in Sheet Molding Compounds
    In: Composites Part B: Engineering, Vol. 249, 2023, 110380
    DOI, Online Full Text (Open Access)
  • Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
    Accounting for viscoelastic effects in a multiscale fatigue model for the degradation of the dynamic stiffness of short-fiber reinforced thermoplastics
    In: Computational Mechanics, Vol. 71, 2023, Nr. 3, pp. 493 – 515
    DOI (Open Access)
  • Ernesti, Felix; Schneider, Matti
    Accounting for weak interfaces in computing the effective crack energy of heterogeneous materials using the composite voxel technique
    In: Archive of Applied Mechanics, Vol. 93, 2023, Nr. 10, pp. 3983 – 4008
    DOI (Open Access)
  • Lauff, Celine; Schneider, Matti; Montesano, John; Böhlke, Thomas
    An orientation corrected shaking method for the microstructure generation of short fiber-reinforced composites with almost planar fiber orientation
    In: Composite Structures, Vol. 322, 2023, 117352
    DOI (Open Access)
  • Ernesti, Felix; Schneider, Matti; Winter, Steffen; Hug, Daniel; Last, Günter; Böhlke, Thomas
    Characterizing digital microstructures by the Minkowski-based quadratic normal tensor
    In: Mathematical Methods in the Applied Sciences, Vol. 46, 2023, Nr. 1, pp. 961 – 985
    DOI (Open Access)
  • Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
    Factors influencing the dynamic stiffness in short‐fiber reinforced polymers
    GAMM: 92nd Annual Meeting, 15.-19.08.2022, Aachen,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 22, 2023, Nr. 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202200071
    DOI (Open Access)
  • Sterr, Benedikt; Wicht, Daniel; Hrymak, Andrew; Schneider, Matti; Böhlke, Thomas
    Homogenizing the viscosity of shear-thinning fiber suspensions with an FFT-based computational method
    In: Journal of Non-Newtonian Fluid Mechanics, Vol. 321, 2023, 105101
    DOI (Open Access)
  • Ernesti, Felix; Lendvai, Jonas; Schneider, Matti
    Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods
    In: Computational Mechanics, Vol. 71, 2023, Nr. 2, pp. 277 – 293
    DOI (Open Access)
  • Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
    Material‐informed training of viscoelastic deep material networks
    92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 15.-19.08.2022, Aachen,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 22, 2023, Nr. 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202200143
    DOI (Open Access)
  • Karl, Tobias; Schneider, Matti; Böhlke, Thomas
    On fully symmetric implicit closure approximations for fiber orientation tensors
    In: Journal of Non-Newtonian Fluid Mechanics, 2023, Nr. 318, 105049
    DOI, Online Full Text (Open Access)
  • Bauer, Julian Karl; Schneider, Matti; Böhlke, Thomas
    On the Phase Space of Fourth-Order Fiber-Orientation Tensors
    In: Journal of Elasticity, Vol. 153, 2023, Nr. 2, pp. 161 – 184
    DOI, Online Full Text (Open Access)
  • Schneider, Matti
    On the effectiveness of the Moulinec–Suquet discretization for composite materials
    In: International Journal for Numerical Methods in Engineering, Vol. 124, 2023, Nr. 14, pp. 3191 – 3218
    DOI, Online Full Text (Open Access)
  • Dey, Argha Protim; Welschinger, Fabian; Schneider, Matti; Gajek, Sebastian; Böhlke, Thomas
    Rapid inverse calibration of a multiscale model for the viscoplastic and creep behavior of short fiber-reinforced thermoplastics based on Deep Material Networks
    In: International Journal of Plasticity, Vol. 160, 2023, 103484
    DOI (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Solving phase‐field fracture problems in the tensor train format
    GAMM: 92nd Annual Meeting, 15.-19.08.2022, Aachen,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 22, 2023, Nr. 1, Heft 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202200098
    DOI (Open Access)
  • Schneider, Matti; Wicht, Daniel
    Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials
    In: International Journal for Numerical Methods in Engineering, Vol. 124, 2023, Nr. 4, pp. 959 – 978
    DOI (Open Access)
  • Lauff, Celine; Schneider, Matti; Böhlke, Thomas
    Generation and analysis of digital twins for CoDiCoFRP accounting for fiber length and orientation distribution
    In: ICCM23: Proceedings of the 2023 International Conference on Composite Materials / 23rd International Conference on Composite Materials (ICCM 2023), Belfast, Vereinigtes Königreich, 30.07.2023 – 04.08.2023 / Falzon, Brian (Eds.). Belfast: Queen's University Belfast, 2023

Further Publications

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Publications as part of the ERC-funded project BeyondRVE

Research Topics

  • FFT-based computational homogenization methods
  • Microstructure modeling
  • Upscaling in solid mechanics
More

Curriculum Vitae

since 09/2023 Professor for Engineering Mathematics, University of Duisburg-Essen
09/2017-08/2023 Juniorprofessor for Computational Micromechanics, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
07/2015-08/2017 Research fellow, Dept. Flow and Material Simulation, Fraunhofer institute for
industrial mathematics ITWM, Kaiserslautern, Germany
02/2013-06/2015 Research fellow, institute for lightweight construction, TU Chemnitz
01/2013 Dr. rer. nat. (Leipzig University, Germany),
Title: The Leray-Serre spectral sequence in Morse homology on Hilbert manifolds and in Floer homology on cotangent bundles
09/2012-01/2013 Research fellow, Dept. Flow and Material Simulation, Fraunhofer institute for
industrial mathematics ITWM, Kaiserslautern, Germany
04/2009–08/2012 PhD student of the International Max-Planck Research School, Max-Planck
institute for mathematics in the sciences Leipzig, Germany
10/2004–01/2009 Studies of applied mathematics, University of Mining and Technology Freiberg, Germany
Diploma degree with distinction