Numerical stability for velocity-based 2-phase formulation for geotechnical dynamic analysis

As a master student in AppliedMathematics at the Delft University of Technology I am highly educated in Numerical Analysis. My interest in this field even mademe choose elective courses such as Advanced Numerical Methods, Applied Finite Elements and Computational Fluid Dynamics. In my search for a challenging graduationproject I chose a research proposal on the material point method, an extension of the finite element method that is well-suited for problems involving large deformations. The proposal met al my personal requirements, since it contained a mathematical basis I am already familiar with and the opportunity to gain knowledge about a relatively new numerical method. Furthermore, it included an internship at DeltaresDelft Institute of Applied MathematicsElectrical Engineering, Mathematics and Computer Scienc