91°µÍø

Bio

I am a Large Scale Computational Scientist at the 91°µÍø in the Scalable Algorithms and Coupled Physics group. Formerly, I was a PostDoc at the University of Heidelberg working with in the group. Before that, I have been a member of the workgroup supervised by in the Institute for Numerical and Applied Mathematics at the University of Göttingen.

Education

• PostDoc at the 91°µÍø in the Computational Engineering and Energy Sciences group
• Substitute Professor in Applied Mathematics at the at the Interdisciplinary Center for Scientific Computing (IWR)
• PostDoc at the in the working group at the Interdisciplinary Center for Scientific Computing (IWR)
• Ph.D. (Dr. rer. nat) in Mathematics and Natural Sciences (passed with distinction), Thesis: "Stabilized Finite Element Methods for Coupled Incompressible Flow Problems"
• Studies of Mathematics (Ph.D.) at the
• Master of Science in Mathematics (passed with distinction) Thesis: ""
• JSC Guest Student Programme 2012 at Forschungszentrum Jülich
• Studies of Mathematics (M.Sc.) at the
• Bachelor of Science in Mathematics (passed with distinction), Thesis: "" (in German)
• Studies of Mathematics (B.Sc.) at the

Presentations

• Ideas on Schwarz Smoothers in Efficient Multigrid Solvers at 7th International Conference on High Performance Scientific Computing
• CFL: A domain-specific language for simplifying integration kernels at Fast high order DG methods for future architectures
• Schwarz Smoothers for Conforming Stabilized Discretizations of the Stokes Equations at The 15th European Finite Element Fair
• Finite Element Methods for Flow Simulations at The Heidelberg Laureate Forum 2016
• A Parallel Multigrid Matrix-Free Solver using Schwarz Smoothers at
• Stabilized Finite Element Methods for Magnetohydrodynamics (slides) at The 14th European Finite Element Fair
• Stabilized Finite Element Methods for Rotating Oberbeck-Boussinesq Flow (slides) at VMS 2016
• Application to Coupled Flow Problems at
• Suitability of local projection stabilization for laminar and turbulent flow at VMS 2015
• Projection Methods for Rotating Flow at
• Qk + Q0 -Elements in Incompressible Flows at deal.II Workshop 2013
• Augmented Taylor-Hood Elements for Incompressible Flow at

• , June 8 - 9, 2018, Mathematikon, Heidelberg.

• G. Alzetta, D. Arndt, W. Bangerth, V. Boddu, B. Brands, D. Davydov, R. Gassmöller, T. Heister, L. Heltai, K. Kormann, M. Kronbichler, M. Maier, J.-P. Pelteret, B. Turcksin, D. Wells: The deal.II Library, Version 9.0, Journal of Numerical Mathematics, 2018, DOI: 10.1515/jnma-2018-0054
• D. Arndt, W. Bangerth, D. Davydov, T. Heister, L. Heltai, M. Kronbichler, M. Maier, J.-P. Pelteret, B. Turcksin, D. Wells: The deal. II library, Version 8.5, Journal of Numerical Mathematics, 2017, DOI: 10.1515/jnma-2017-0058
• D. Arndt, H. Dallmann, G. Lube: Quasi-Optimal Error Estimates for the incompressible Navier-Stokes Problem discretized by Finite Elements Methods and Pressure-Correction Projection with velocity stabilization, arXiv preprint arXiv:1609.00807, 2016
• H. Dallmann, D. Arndt: in Journal of Scientific Computing, March 2016, DOI:10.1007/s10915-016-0191-z
• D. Arndt, G. Lube: , NAM-Preprint 2015
• D. Arndt, M. Braack and G. Lube: , Numerical Mathematics and Advanced Applications ENUMATH 2015, volume 112. Springer, 2015
• D. Arndt, H. Dallmann: , Technical Report, 2015
• B. Wacker, D. Arndt, G.Lube: , Computer Methods in Applied Mechanics and Engineering (CMAME), Volume 302, April 2016, Pages 170–192, DOI:i10.1016/j.cma.2016.01.004
• G. Lube, D. Arndt, H. Dallmann: , in: , Lecture Notes in Computational Science and Engineering, Volume 108, Pages 147-169, DOI:10.1007/978-3-319-25727-3
• D. Arndt, H. Dallmann, G. Lube: , Numerical Methods for Partial Differential Equations, Volume 31, Issue 4, Pages 1224–1250, July 2015, DOI:10.1002/num.21944
• H. Dallmann, D. Arndt, G. Lube: , IMA J Numer Anal (2015) DOI: 10.1093/imanum/drv032
• D. Arndt: Design and Implementation of an Experimental Finite Element Solver
  in Proceedings 2012, JSC Guest Student Programme on Scientific Computing, pp. 83-93

Scientific interests

• Mass conservation in FEM for incompressible flow problems
• Numerical analysis and simulation of turbulent flow problems
• Massively parallel FEM simulations

Software

Publications