activity
20162021
most citedConstruction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes

225 citations · 306 across the 4 of their papers we have counts for

collaborators

5 papers

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…

cs.MS2019★ 19 cited

LEoPart: a particle library for FEniCS

Jakob M. Maljaars, Chris N. Richardson, Nathan Sime

This paper introduces LEoPart, an add-on for the open source finite element software library FEniCS to seamlessly integrate Lagrangian particle functionality with (Eulerian) mesh-b…

cs.MS2019

Abstractions and automated algorithms for mixed domain finite element methods

Cécile Daversin-Catty, Chris N. Richardson, Ada J. Ellingsrud +1

Mixed dimensional partial differential equations (PDEs) are equations coupling unknown fields defined over domains of differing topological dimension. Such equations naturally aris…

cs.CE2018★ 16 cited

Scalable computation of thermomechanical turbomachinery problems

Chris N. Richardson, Nathan Sime, Garth N. Wells

A commonly held view in the turbomachinery community is that finite element methods are not well-suited for very large-scale thermomechanical simulations. We seek to dispel this no…

cs.DC2016★ 46 cited

Containers for portable, productive and performant scientific computing

Jack S. Hale, Lizao Li, Chris N. Richardson +1

Containers are an emerging technology that hold promise for improving productivity and code portability in scientific computing. We examine Linux container technology for the distr…