My current field of research is rather widespread and falls into the category of high-performance numerical simulations. Important aspects are:

• Multiphysics numerical simulations.
• Coupled elastic waves and fluid flow in porous media with memory.
• Higher order space-time finite element methods.
• Massively parallel and high performance computing.
• Iterative linear block-system solvers and preconditioning.
• C++ software development.
• Implementation of DTM++ frontend simulators for deal.II
• Implementation of candi - an automated build bash script tool for deal.II

The multi-physics problem of coupled flow and deformation is an important research area from rigorous mathematics, over algorithmic development, software development up to engineering modelling.

Numerical simulation of an artificial spinal disc under loading:

The pressure is colourised in the lower part and the magnitude of the displacement is colourised in the upper part. This animation was created from a numerical simulation with my frontend solver DTM++.Project/biot.

The numerical simulation of elastic and acoustic waves play an important role for the simulation of structural health monitoring systems (SHM) as part of the development.

Numerical simulation of an acoustic wave:

An acoustic wave traveling through an heterogeneous media. At the media jump some part of the wave gets transmitted and some part gets reflected. Additionally a new Huygens wave rises. This animation was created from a numerical simulation with my frontend solver DTM++.Project/awave.

Numerical simulation of an elastic wave:

A three-dimensional symmetric-antisymmtric guided elastic wave package is enforced and travels through a fibre-reinforced plastic structure. New antisymmtric elastic waves rise due to interaction of the symmetric part of the original wave with structural defects. This animation was created from a numerical simulation with my frontend solver DTM++.Project/ewave.

Nonlinear hyperbolic conservation laws.