# Daniel Arndt

### Large Scale Computational Scientist

## Bio

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

*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

*16th European Finite Element Fair 2018*, 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:
*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

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

## Publications

Journal: IEEE Transactions on Parallel and Distributed Systems

Journal: Computers & Mathematics with Applications