- High Performance Computing on Parallel and Vector Machines
- Scientific Computing on Graphical Processing Units (GPUs)
- Nonlinear Elasticity and Viscoelasticity
- Physical Modeling of Soft Tissues, especially Cranial Aneurysms
- Facial Surgery Simulation
- Iterative Solvers for Linear Systems of Equations
- Numerics of Partial Differential Equations
- Least-Squares Methods (FOSLS)
- Finite Elements in Structural Mechanics
- A-posteriori Error Estimators and Adaptive Meshing
