15 citations · 23 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
A MultiMesh Finite Element Method for the Stokes Problem
August Johansson, Mats G. Larson, Anders Logg
The multimesh finite element method enables the solution of partial differential equations on a computational mesh composed by multiple arbitrarily overlapping meshes. The discreti…
MultiMesh Finite Elements with Flexible Mesh Sizes
August Johansson, Mats G. Larson, Anders Logg
We analyze a new framework for expressing finite element methods on arbitrarily many intersecting meshes: multimesh finite element methods. The multimesh finite element method, fir…
MultiMesh Finite Element Methods: Solving PDEs on Multiple Intersecting Meshes
August Johansson, Benjamin Kehlet, Mats G. Larson +1
We present a new framework for expressing finite element methods on multiple intersecting meshes: multimesh finite element methods. The framework enables the use of separate meshes…