activity
20212026
most citedConstruction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes

225 citations · 229 across the 5 of their papers we have counts for

collaborators

6 papers

physics.comp-ph2026

RFBniCS: An open-source simulation framework for redox flow batteries

Amirhossein Aghabarari, Jørgen S. Dokken, Martin T. Horsch +2

We present RFBniCS, an open-source finite-element framework implemented in FEniCSx for simulating redox-flow-battery (RFB) half-cells. RFBniCS solves an established macro-homogeneo…

physics.comp-ph2026

Multiphysics tritium transport modelling of the ARC breeding blanket with FESTIM

James Dark, Arpan Sircar, Jin Whan Bae +2

Accurate prediction of tritium behaviour in molten salt breeding blankets is essential for the design and safe operation of ARC-class fusion reactors. This work presents a fully op…

physics.comp-ph2025★ 2 cited

FESTIM v2.0: Upgraded framework for multi-species hydrogen transport and enhanced performance

James Dark, Rémi Delaporte-Mathurin, Jørgen S. Dokken +6

FESTIM is an open-source finite element framework for modelling the transport of hydrogen isotopes in materials. It provides a flexible and extensible tool for simulating diffusion…

q-bio.QM2024★ 1 cited

Spatial modeling algorithms for reactions and transport (SMART) in biological cells

Emmet A. Francis, Justin G. Laughlin, Jørgen S. Dokken +4

Biological cells rely on precise spatiotemporal coordination of biochemical reactions to control their many functions. Such cell signaling networks have been a common focus for mat…

q-bio.QM2023★ 1 cited

SMART: Spatial Modeling Algorithms for Reaction and Transport

Justin G. Laughlin, Jørgen S. Dokken, Henrik N. T. Finsberg +4

Recent advances in microscopy and 3D reconstruction methods have allowed for characterization of cellular morphology in unprecedented detail, including the irregular geometries of…

math.NA2021★ 225 cited

Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes

Matthew W. Scroggs, Jørgen S. Dokken, Chris N. Richardson +1

We develop a method for generating degree-of-freedom maps for arbitrary order finite element spaces for any cell shape. The approach is based on the composition of permutations and…