Research Areas

  • Numerical analysis for partial differential equations
  • Error control and adaptivity for finite element and finite volume schemes
  • Model reduction for parametrized partial differential equations
  • Development and analysis of numerical multiscale methods
  • Software development and scientific computing


    Supervised Postdoctoral Study

    Applications of numerical homogenization in geosciences and physics

    Supervised Doctoral Studies

    Randomized Multiscale Methods for Parabolic Problems
    A Multi-Stage Model Order Reduction Framework for Efficient Simulations of Parametrized Lithium-Ion Battery Cells
    Adaptive Reduced Basis Methods for Multiscale Problems and Large-scale PDE-constrained Optimization
    Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition
    Stable and efficient Petrov-Galerkin methods for certain (kinetic) transport equations
    Towards Automatic and Reliable Localized Model Order Reduction. Local Training, a Posteriori Error Estimation and Online Enrichment.
    Numerical multiscale methods for Maxwell's equations in heterogeneous media
    Combined State and Parameter Reduction for Nonlinear Systems with an Application in Neuroscience
    Model Reduction for Parametric Multi-Scale Problems
    Kaulmann, SvenEfficient Schemes for Parameterized Multiscale Problems
    A dimensional reduction approach based on the application of reduced basis methods in the context of hierarchical model reduction
    Reduced basis model reduction for non-linear evolution equations
    Heterogeneous multiscale finite element methods for advection-diffusion and nonlinear elliptic multiscale problems
    Klöfkorn RobertNumerics for Evolution Equations - A General Interface Based Design Concept