Research: Methods

Contact Dynamics

• Contact Formulations
• Contact with Wear
• Thermomechanical Contact
• Beam-to-Beam Contact

Chemical

• Chemically-Reacting Flows
• Combustion

Discretization Methods

• Discontinuous Galerkin (DG) Methods
• EXtended and Cut Finite Element Methods (XFEM and CutFEM)
• Isogeometric Finite Element Methods
• Maximum-Entropy Methods
• Mortar Methods
• Multiscale and Stabilized Methods
• Nitsche Methods
• Particle Methods
• Volume Coupling Methods

Experimental (Bio-)Mechanics

• Tensile Testing Uniaxial/Biaxial
• Bioreactor
• Assessment of Thrombus Pressure Distribution

Fluid Dynamics

• Incompressible Flows
• Turbulent Flows
• Multiphase Flows
• Variable-Density Flows

Fluid-Structure Interaction

• Coupling Schemes
• Time Integration
• Solvers for FSI Linear Systems of Equations
• Formulations
• FSI with Contact
• Poroelasticity
• Lubricated Contact

Hydrodynamics

• Cavitation

Inverse Methods

• Prestressing of Finite Deformation Structures
• Inverse Design Analysis
• Inverse Calibration of Windkessel models

Material Modeling

• Constituent-based
• Mixed-Effect
• Damage
• Computational Thermo-Plasticity

Optimization

• Topology Optimization
• Shape Optimization

Solid Dynamics

• Geometrically Exact Beam Finite Elements
• Potential-Based Beam-To-Beam Interaction
• Solid-Shell Finite Elements
• Multiscale (FE²) Methods

Solvers / AMG

• Algebraic Multigrid for Convection-dominated Problems
• Algebraic Multigrid for Fluid-Structure Interaction

Thermo-Fluid-Structure Interaction

• Thermo-Fluid-Structure Interaction

Transport Phenomena

• Transport equations

Uncertainty Quantification

• UQ Methods