18 citations · 34 across the 6 of their papers we have counts for
7 papers
DefElement: an encyclopedia of finite element definitions
Matthew W. Scroggs, Pablo D. Brubeck, Joseph P. Dean +2
DefElement is an online encyclopedia of finite element definitions that was created and is maintained by the authors of this paper. DefElement aims to make information about elemen…
The latent variable proximal point algorithm for variational problems with inequality constraints
Jørgen S. Dokken, Patrick E. Farrell, Brendan Keith +2
The latent variable proximal point (LVPP) algorithm is a framework for solving infinite-dimensional variational problems with pointwise inequality constraints. The algorithm is a s…
On the numerical evaluation of wall shear stress using the finite element method
Jana Brunátová, Jørgen Schartum Dokken, Kristian Valen-Sendstad +1
Wall shear stress (WSS) is a crucial hemodynamic quantity extensively studied in cardiovascular research, yet its numerical computation is not straightforward. This work aims to co…
Model order reduction of solidification problems
Florian Arbes, Øyvind Jensen, Kent-Andre Mardal +1
Advection driven problems are known to be difficult to model with a reduced basis because of a slow decay of the Kolmogorov -width. This paper investigates how this challenge tr…
Automatic shape derivatives for transient PDEs in FEniCS and Firedrake
Jørgen S. Dokken, Sebastian K. Mitusch, Simon W. Funke
In industry, shape optimization problems are of utter importance when designing structures such as aircraft, automobiles and turbines. For many of these applications, the structure…
A multimesh finite element method for the Navier-Stokes equations based on projection methods
Jørgen S. Dokken, August Johansson, André Massing +1
The multimesh finite element method is a technique for solving partial differential equations on multiple non-matching meshes by enforcing interface conditions using Nitsche's meth…
Shape Optimization using the Finite Element Method on Multiple Meshes
Jorgen S. Dokken, Simon W. Funke, August Johansson +1
An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ…