Research and Projects


  • Numerical modeling of nonstationary, nonlinear, coupled PDE systems
    • Multiphysics (fluid-structure interaction, reactive flow, porous media)
    • CVIS: coupled variational inequality systems such as variational phase-field fracture
  • Adaptivity
    • Adaptive finite elements
    • Predictor-corrector adaptivity
    • Goal-oriented a posteriori error estimation
    • Multiple quantities of interest
    • Balancing discretization and iteration errors
  • Robust and efficient solvers
  • Numerical optimization and parameter estimation
  • Design of algorithms and research software development (see also here)

♦Third-party funded projects:

  1. 09/2021--2025 (Hannover/Germany member as PI): IRTG 2657 (funded by DFG) Computational Mechanics Techniques in High Dimensions (CoMeTeNd) in collaboration with ENS Paris-Saclay
  2. 10/2019-09/2022 (Hannover/Germany as PI): DFG Project with Ira Neitzel (Univ. Bonn) and Winnifried Wollner (TU Darmstadt) within the DFG-SPP 1962
    Optimizing Fracture Propagation Using a Phase-Field Approach (~50000 EUR)
  3. 03/2019-02/2023: Member of the Indo-German Higher Education Partnership 2019 - 2023, DAAD (German Academic Exchange Service) Leibniz University Hannover - IIT Indore / Germany - India
  4. 01/2019-31/2022 (Magdeburg/Germany, coordinator Thomas Richter): Member of PeCCC (Peruvian Competence Center of Scientific Computing), Stärkung des Wissenschaftlichen Rechnens in der Lehre in Peru, financed by the DAAD (German Academic Exchange Service)
  5. since 01/2019 (Hannover/Germany): Member of the cluster of excellence PhoenixD
  6. 01/2019-31/2022 (Hannover/ecole normale superieure Paris-Saclay as participating scientist): Member of the French-German Doctoral College SNTA for Numerische Methoden zum Design von Strukturen, Materialien und Fertigungstechniken
  7. 04/2018-03/2021 (Hannover/Germany as PI): DFG Project with Mirjam Walloth and Winnifried Wollner (both Darmstadt/Germany) within the DFG-SPP 1748
    Structure Preserving Adaptive Enriched Galerkin Methods for Pressure-Driven 3D Fracture Phase-Field Models (192000 EUR)
  8. 08/2017 - 07/2020 (Linz/Austria as International Partner): FWF stand-alone project P-29181
    Goal-Oriented Error Control for Phase-Field Fracture Coupled to Multiphysics Problems
    (project leader change in Feb 2017 to Ulrich Langer) (238749 EUR) (gestartet am 1. Aug. 2017)
    Project webpage
  9. 10/2013-09/2014 (Austin/USA as PI): Feodor Lynen Research Fellowship of the Alexander von Humboldt foundation (48000 EUR)

♦Third-party grants for research and conferences:

  • 2018 (UCL, UK): Research with Stefan Frei (supported by a grant from Eric Burman)
  • 2017 (Austin/USA): J. Tinsley Oden Faculty Fellowship Research Program (2400 USD)
  • 2016 (Heidelberg/Germany): HGS MathComp Heidelberg travel stipend (480 EUR)
  • 2016 (Austin/USA): J. Tinsley Oden Faculty Fellowship Research Program (4800 USD)
  • 2016 (Linz/Austria): FSI conference and winter school (8000 EUR)
  • 2015 (Heidelberg/Germany): HGS MathComp Heidelberg travel stipend (500 EUR)
  • 2015 (Ankara/Turkey): DAAD travel stipend (880 EUR)
  • 2015 (Austin/USA): JTO Faculty Fellowship Research Program (2nd stay) (4000 USD)
  • 2015 (Austin/USA): JTO Faculty Fellowship Research Program (1st stay) (6000 USD)
  • 2015 (Singapor): Invitation to the department of mathematics (2000 USD)
  • 2014 (Heidelberg/Germany): International Scientific Forum (1500 EUR)
  • 2013 (Austin/USA): ICES Postdoc fellowship (60000 USD)
  • 2013 (TU Munich/Germany): TUM Mobility Fellowship (1500 EUR)
  • 2012 (Hanoi/Vietnam): DAAD travel stipend (1500 EUR)
  • 2011 (Bruxelles/Belgium): Graduate Academy Heidelberg (1500 EUR)
  • 2010 (Lisbon/Portugal): Graduate Academy Heidelberg (1500 EUR)

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