About me

 
I am a PostDoc at the University of Heidelberg and former member of the workgroup Numerical Methods for Partial Differential Equations supervised by Prof. Dr. Gert Lube in the Institute for Numerical and Applied Mathematics at the University of Göttingen.

 

Education

October 2017 - March 2018	Substitute Professor in Applied Mathematics at the University of Heidelberg at the Interdisciplinary Center for Scientific Computing (IWR)
2016 -	PostDoc at the University of Heidelberg in the working group Mathematical Methods of Simulation at the Interdisciplinary Center for Scientific Computing (IWR)
January 2016	Ph.D. (Dr. rer. nat) in Mathematics and Natural Sciences (passed with distincton) Thesis: "Stabilized Finite Element Methods for Coupled Incompressible Flow Problems"
2013 - 2016	Studies of Mathematics (Ph.D.) at the Georg-August-Universittät Göttingen
March 2013	Master of Science in Mathematics (passed with distinction) Thesis: "Augmented Taylor-Hood Elements for Incompressible Flow"
March 11-15 2013	DNS/LES Course at DLR Göttingen
August 2012 - October 2012	JSC Guest Student Programme 2012 at Forschungszentrum Jülich
2011 - 2013	Studies of Mathematics (M.Sc.) at the Georg-August-Universität Göttingen
October 20th 2011	Bachelor of Science in Mathematics (passed with distinction) Thesis: "Ein adaptives Mehrschritt-IMEX-Verfahren" (in German)
2008 - 2011	Studies of Mathematics (B.Sc.) at the Georg-August-Universität Göttingen
1998 - 2007	Secondary school "Gymnasium Josephinum" in Hildesheim
1994 - 1998	Primary school "St.-Martinus-Schule" in Himmelsthür
January 18th 1988	Born in Hildesheim

 

Presentations

• Ideas on Schwarz Smoothers in Efficient Multigrid Solvers (slides) at 7th International Conference on High Performance Scientific Computing
• CFL: A domain-specific language for simplifying integration kernels (slides) at Fast high order DG methods for future architectures
• Schwarz Smoothers for Conforming Stabilized Discretizations of the Stokes Equations (slides) at The 15th European Finite Element Fair
• Finite Element Methods for Flow Simulations (slides) at The Heidelberg Laureate Forum 2016
• A Parallel Multigrid Matrix-Free Solver using Schwarz Smoothers (slides) at PDE Software Frameworks (PDESoft) 2016
• 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 (slides) at deal.II Workshop 2015
• Suitability of local projection stabilization for laminar and turbulent flow (slides) at VMS 2015
• Projection Methods for Rotating Flow (slides) at ECFD VI 2014
• Qk + Q0 -Elements in Incompressible Flows (slides) at deal.II Workshop 2013
• Augmented Taylor-Hood Elements for Incompressible Flow (slides) at MAFELAP 2013

 

Organized Conferences

• 16th European Finite Element Fair 2018 , June 8 - 9, 2018, Mathematikon, Heidelberg.

 

Publications

• 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: Stabilized Finite Element Methods for the Oberbeck-Boussinesq Model in Journal of Scientific Computing, March 2016, DOI:10.1007/s10915-016-0191-z
• D. Arndt, G. Lube: FEM with Local Projection Stabilization for Incompressible Flows in Rotating Frames , NAM-Preprint 2015
• D. Arndt, M. Braack and G. Lube: Finite elements for the Navier-Stokes problem with outflow condition , Numerical Mathematics and Advanced Applications ENUMATH 2015, volume 112. Springer, 2015
• D. Arndt, H. Dallmann: Error Estimates for the Fully Discretized Incompressible Navier-Stokes Problem with LPS Stabilization , Technical Report, 2015
• B. Wacker, D. Arndt, G.Lube: Nodal-based finite element methods with local projection stabilization for linearized incompressible magnetohydrodynamics , 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: Understanding the limits of inf-sup stable Galerkin-FEM for incompressible flows , in: BAIL 2014 - Boundary and Interior Layers , 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: Local projection FEM stabilization for the time-dependent incompressible Navier-Stokes problem , 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: Local projection stabilization for the Oseen problem , 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

• deal.II main developer
• IFISS