Dr.-Ing. Dipl.-Math. Benedikt Schott
Member of "International Graduate School of Science and Engineering" (IGSSE)
Education and Research
- 2017 Doktor-Ingenieur (doctorate), Technische Universität München (TUM), Germany,
thesis title: Stabilized Cut Finite Element Methods for Complex Interface Coupled Flow Problems, PDF. - Since June 2014: Project Team Leader (PTL) of IGSSE (International Graduate School of Science and Engineering),
research project: Interdisciplinary modeling of biofilms. - August 2013 - October 2013: Research stay at the Center for Biomedical Computing (CBC) at the Simula Research Laboratory, Oslo, Norway.
- Since 2011: Member of International Graduate School of Science and Engineering (IGSSE),
research project: Interdisciplinary modeling of biofilms. - 2011 Diplom-Mathematiker (diploma), Technische Universität München (TUM), Germany,
thesis title: Enforcing interface conditions with Nitsche's method in the XFEM.
Research area and interests
- EXtended and Cut Finite Element Method (XFEM and CutFEM)
- Geometrically unfitted finite element methods
- Fictitious domain methods using cut elements
- Non-conforming interface coupling methods
- Domain Decomposition Methods (Nitsche and Mortar)
- Nitsche based techniques for interface couplings
- Lagrange multiplier based interface coupling methods
- Weak imposition of boundary conditions
- Computational fluid dynamics
- Stabilized Finite Element schemes
- Fluid-structure interaction
- Fluid-structure-contact interaction
- Domain Decomposition techniques for transport problems
- Two-phase flow including surface tension
- Level-set methods
- Premixed combustion
- Modeling of biofilms
PhD Thesis
- B. Schott, Stabilized Cut Finite Element Methods for Complex Interface Coupled Flow Problems, Technische Universität München, Germany, 2017, PDF.
Awards
- Wittenstein/attocube PhD award.
Articles in Peer-Reviewed International Journals
- B. Schott, C. Ager and W.A. Wall, A monolithic approach to fluid-structure interaction based on a hybrid Eulerian-ALE fluid domain decomposition involving cut elements, in preparation, 2017.
- B. Schott, C. Ager and W.A. Wall, Capabilities of unfitted Nitsche-type approaches for fluid-structure interaction, in preparation, 2017.
- M. Winter, B. Schott, A. Massing and W.A. Wall, A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions, submitted, 2017, ArXiv.
- A. Massing, B. Schott and W.A. Wall (2018), A stabilized Nitsche cut finite element method for the Oseen problem, Computer Methods in Applied Mechanics and Engineering, 328:262-300, DOI. ArXiv.
- B. Schott*, S. Shahmiri*, R. Kruse and W.A. Wall (2015), A stabilized Nitsche-type extended embedding mesh approach for 3D low- and high-Reynolds-number flows, International Journal for Numerical Methods in Fluids, 82(6):289-315, DOI (*co-first authorship).
- B. Schott*, U. Rasthofer*, V. Gravemeier and W.A. Wall (2015), A face-oriented stabilized Nitsche-type extended variational multiscale method for incompressible two-phase flow, International Journal for Numerical Methods in Engineering, 104(7):721-748, DOI (*co-first authorship).
- B. Schott and W.A. Wall (2014), A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, 276:233-265, DOI.
Reviewed Conference Proceedings
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B. Schott and W.A. Wall, A face-oriented stabilized fictitious domain approach for 3D incompressible Navier-Stokes equations applied to fluid-structure interaction. Proceedings of the 26th Nordic Seminar on Computational Mechanics, A. Logg, K.A. Mardal (Eds.), Oslo, 2013.
Selected Presentations
- "Cut finite element methods for flow problems - theory and application to multiphase flow and fluid-structure interaction", EuroTech Advanced School on Immersed Methods, Eindhoven, Netherlands, November 6-9, 2017 (invited lecture).
- "Stabilized unfitted finite element methods for complex coupled multiphysics flow problems using cut elements", Workshop on "Geometrically unfitted Finite Element Methods" at UCL London, London, United Kingdom, January 6-8, 2016 (invited lecture).
- "Stabilized XFEM based discretization approaches for complex coupled flow problems using cut elements", Conference on eXtended Discretization MethodS (X-DMS 2015), Ferrara, Italy, September 9-11, 2015.
- "Stabilized XFEM based discretization approaches for complex coupled flow problems using cut elements", 10th International workshop on variational multiscale and stabilized finite elements (VMS 2015), Garching b. München, Germany, February 25-27, 2015.
- "A face-oriented stabilized XFEM approach for convection dominated flow problems using cut elements", WCCM XI, ECCM VI, ECFD VI, Barcelona, Spain, July 21-25, 2014.
- "A face-oriented stabilized fictitious domain approach for 3D incompressible Navier-Stokes equations applied to fluid-structure interaction", The 26th Nordic Seminar on Computational Mechanics 2013, Oslo, Norway, October 23-25, 2013.
- "A stabilized XFEM-based fixed-grid approach for fluid-structure interaction", XFEM 2013, Lyon, France, September 11-13, 2013.
- "A stabilized XFEM-based ficititious domain approach for fluid-structure interaction", Coupled Problems 2013, Ibiza, Spain, June 17-19, 2013.
- "A stabilized XFEM based fixed-grid approach for fluids with moving boundaries", PUM (Partition of Unity Method) Workshop 2012, Berlin, Germany, August 22-24, 2012.
Teaching
- Advanced course Numerische Methoden für Ingenieure, WS2012/2013
- Advanced course Numerische Methoden für Ingenieure, WS2011/2012