Henry von Wahl Start Research Short CV Publications Teaching

Dr. Henry von Wahl

I am a lecturer (akademischer Rat) in the group of Dietmar Gallistl at Friedrich Schiller University Jena.

Research area:

My research focuses on numerical methods for partial differential equations (PDEs) using advanced Finite Element Methods (FEM). My focus is, in particular, on unfitted finite elements (CutFEM), discontinuous Galerkin (DG), and high-order FEM. The applications include fluid dynamics, fluid-structure interactions, problems with moving domains, and atmospheric dynamics.

Contact:

Faculty of Mathematics and Computer Science
Friedrich Schiller University Jena
Ernst-Abbe-Platz 2
07743 Jena
Germany

Room: 3301
Tel.: +49 3641 9 46121
E-mail: henry.von.wahl-at-uni-jena.de (replace -at- with @)

Short CV

Publications

Preprints

[1] M. Olshanskii and H. von Wahl. A conservative Eulerian finite element method for transport and diffusion in moving domains. Submitted., April 2024. [ bib | DOI | arXiv | PDF | Code ]

Book

[1] T. Richter, H. von Wahl, and T. Wick. Einführung in die Numerische Mathematik: Begriffe, Konzepte und zahlreiche Anwendungsbeispiele. Springer Berlin Heidelberg, 2 edition, December 2024. [ bib | DOI | Code ]

Peer-reviewed articles

[1] M. Olshanskii and H. von Wahl. Stability of instantaneous pressures in an Eulerian finite element method for moving boundary flow problems. J. Comput. Phys., 533:113983, July 2025. [ bib | DOI | PDF | Code ]
[2] S. Lee, H. von Wahl, and T. Wick. A thermo-flow-mechanics-fracture model coupling a phase-field interface approach and thermo-fluid-structure interaction. Internat. J. Numer. Methods Engrg., 126(1):e7646, January 2025. [ bib | DOI | PDF | Code ]
[3] H. von Wahl and L. R. Scott. Reliable chaotic transition in incompressible fluid simulations. Adv. Comput. Sci. Eng., 2(3):202--221, September 2024. [ bib | DOI | PDF | Code ]
[4] H. von Wahl and T. Wick. A coupled high-accuracy phase-field fluid-structure interaction framework for Stokes fluid-filled fracture surrounded by an elastic medium. Results Appl. Math., 22:100455, May 2024. [ bib | DOI | PDF | Code ]
[5] S. Doppler, P. L. Lederer, J. Schöberl, and H. von Wahl. A discontinuous Galerkin approach for atmospheric flows with implicit condensation. J. Comput. Phys., 499:112713, February 2024. [ bib | DOI | PDF | Code ]
[6] H. von Wahl and T. Wick. A high-accuracy framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium. Comput. Methods Appl. Mech. Engrg., 415:116202, October 2023. [ bib | DOI | PDF | Code ]
[7] F. Heimann, C. Lehrenfeld, P. Stocker, and H. von Wahl. Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems. ESAIM Math. Model. Numer. Anal., 57(5):2803--2833, September 2023. [ bib | DOI | PDF | Code ]
[8] H. von Wahl and T. Richter. Error analysis for a parabolic PDE model problem on a coupled moving domain in a fully Eulerian framework. SIAM J. Numer. Anal., 61(1):286--314, February 2023. [ bib | DOI | PDF | Code ]
[9] H. von Wahl and T. Richter. Using a deep neural network to predict the motion of underresolved triangular rigid bodies in an incompressible flow. Internat. J. Numer. Methods Fluids, 93(12):3364--3383, August 2021. [ bib | DOI | PDF ]
[10] C. Lehrenfeld, F. Heimann, J. Preuß, and H. von Wahl. ngsxfem: Add-on to NGSolve for geometrically unfitted finite element discretizations. J. Open Source Softw., 6(64):3237, August 2021. [ bib | DOI | PDF | http ]
[11] H. von Wahl, T. Richter, and C. Lehrenfeld. An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains. IMA J. Numer. Anal., 42(3):2505--2544, July 2021. [ bib | DOI | PDF | Code ]
[12] H. von Wahl, T. Richter, S. Frei, and T. Hagemeier. Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data. Phys. Fluids, 33(3):033304, March 2021. Editor's pick. [ bib | DOI | PDF | Code ]
[13] H. von Wahl, T. Richter, C. Lehrenfeld, J. Heiland, and P. Minakowski. Numerical benchmarking of fluid-rigid body interactions. Comput. & Fluids, 193:104290, October 2019. [ bib | DOI | PDF | Code ]

Proceedings

[1] H. von Wahl and T. Richter. An Eulerian time-stepping scheme for a coupled parabolic moving domain problem using equal order unfitted finite elements. Proc. Appl. Math. Mech., 22(1), March 2023. [ bib | DOI | PDF ]

Thesis

[1] H. M. von Wahl. Unfitted finite elements for fluid-rigid body interaction problems. PhD thesis, Otto-von-Guericke-Universität Magdeburg, 2021. [ bib | DOI ]
[2] H. M. von Wahl. Implicit-explicit time splitting schemes for incompressible Navier-Stokes flows. Master's thesis, Georg-August Universität Göttingen, 2018. [ bib | PDF ]
[3] H. M. von Wahl. Virtual finite elements. Bachelor thesis, Georg-August-Universität Göttingen, 2016. [ bib ]

Teaching

Friedrich Schiller University Jena

University of Vienna

Profiles

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DG simulation of warm rain with implicit condensation of a rising thermal: Velocity field, vapour-, cloud- and rain-densities.