About me

I am currently employed at Simula Research Laboratory as a Senior Research Engineer. I am also one of the administrators of the FEniCS Discourse forum and I am member of the FEniCS Steering Council.

From 2019-2022 I worked as a Postdoctoral Research Associate at the University of Cambridge, working on the ASiMoV project with Chris Richardson and Garth Wells on the ASiMoV-project. The main goal of this project was to do the worlds first, high fidelity simulation of a complete gas-turbine engine during operation, simultaneously including the effects of thermo-mechanics, electromagnetics, and CFD. My main focus during this project was contact mechanics, multi-point constraints and large scale simulations with MPI.

From 2016-2019 I took my PhD at Simula Research Laboratory on the subject of Shape Optimization with Finite Element Methods.

Latest news

2025

• New preprint: On the numerical evaluation of wall shear stress using the finite element method available at: DOI: 10.48550/arXiv.2501.02987

2024

• New paper: Spatial modeling algorithms for reactions and transport in biological cells available at: DOI: 10.1038/s43588-024-00745-x. For a general summary see: UCSD Research Alert
• October 21st-22nd: Two-day DOLFINx workshop at the MIT Plasma Science and Fusion Center. The workshop material is available at https://jsdokken.com/FEniCS-workshop.
• October 4th,11th: I will give two lectures as part of MU5MES01 of the Solid Mechanics of the Solid Mechanics Master of Sorbonne Université and ENPC. See MU5MES01@Github for more information.
• October 1st: I will give an introduction to the FEniCS library at École des Ponts, Paris. See Laboratory Navier for more information.
• I am organizing the FEniCS 24 conference at Simula Research Laboratory June 12th-14th in Oslo Norway. See: https://fenicsproject.org/fenics-2024/ for details
• v0.8.0 of the DOLFINx tutorial have been published
• New paper published: https://joss.theoj.org/papers/10.21105/joss.06451 for details
• Online panelist at the DOEPy meetup (April 24th), see: The Python Exchange for DoE Employees for the event recording details.

2023

• New preprint: DOLFINx: The next generation FEniCS problem solving environment available at DOI:10.5281/zenodo.10447666
• New tutorial: FEniCSx tutorial for students enrolled in the class MU5MES01 of the Solid Mechanics Master of Sorbonne Université and ENPC. The tutorial is available at http://jsdokken.com/FEniCS23-tutorial/
• Presentation at d’Alembert institute on my research Boundary condition extensions in FEniCSx, See the D’Alembert YouTube channel for the full presentation
• The presentation from FEniCS 23 on checkpointing is available at checkpointing-presentation. The code is available at jorgensd/checkpointing-presentation
• New paper published: See: https://joss.theoj.org/papers/10.21105/joss.05580# for details
• A Python implementation for checkpointing in DOLFINx is available at adios4dolfinx

2022

• A web resource for reproducible research available at scientificcomputing@github
• Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes open-access publication at TOMS.
• The DOLFINx tutorial v0.4.1 has been released.
• TEAM 30 Benchmark of electromagnetic a 2D induction engine available at Github (Wells-group/TEAM30)

2021

• Proceedings of the FEniCS 2021-conference is available here.
• Simple Taylor-Green solver and 3D Turek benchmark IPCS Navier-Stokes solver for dolfinx is available at jorgensd/dokken_ipcs on Github!

Software

I am involved in the development of the following software:

• The FEniCS project - An open-source computing platform for solving partial differential equations using the finite element method. End-user and core development resulting in the following papers and preprints

  • DOLFINx: The next generation FEniCS problem solving environment
  • Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes
  • A multimesh finite element method for the Navier–Stokes equations based on projection methods
  • Shape Optimization Using the Finite Element Method on Multiple Meshes with Nitsche Coupling
• Dolfin-adjoint - An algorithmic differentiation tool using pyadjoint to differentiate FEM models written in Dolfin and Firedrake. The contributions here have resulted in the following papers and preprints
  • Automatic shape derivatives for transient PDEs in FEniCS and Firedrake
  • dolfin-adjoint 2018.1: automated adjoints for FEniCS and Firedrake
• Scientific Computing @ Simula A web resource for best software practices for academics using Python
• dolfinx_mpc - An extension to DOLFINx supporting multi-point constraints (such as contact and slip conditions)
• adios4dolfinx