Daniel Arndt

I am a Large Scale Computational Scientist at the Oak Ridge National Laboratory in the Scalable Algorithms and Coupled Physics group. Formerly, I was a PostDoc at the University of Heidelberg working with Prof. Dr. Guido Kanschat in the Mathematical Methods of Simulation group. Before that, I have been a 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

• PostDoc at the Oak Ridge National Laboratory in the Computational Engineering and Energy Sciences group
• Substitute Professor in Applied Mathematics at the University of Heidelberg at the Interdisciplinary Center for Scientific Computing (IWR)
• PostDoc at the University of Heidelberg in the working group Mathematical Methods of Simulation 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 Georg-August-Universittät Göttingen
• Master of Science in Mathematics (passed with distinction) Thesis: "Augmented Taylor-Hood Elements for Incompressible Flow"
• JSC Guest Student Programme 2012 at Forschungszentrum Jülich
• Studies of Mathematics (M.Sc.) at the Georg-August-Universität Göttingen
• Bachelor of Science in Mathematics (passed with distinction), Thesis: "Ein adaptives Mehrschritt-IMEX-Verfahren" (in German)
• Studies of Mathematics (B.Sc.) at the Georg-August-Universität Göttingen

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