15 citations · 23 across the 5 of their papers we have counts for
7 papers
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…
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…
High Order Cut Finite Element Methods for the Stokes Problem
August Johansson, Mats G. Larson, Anders Logg
We develop a high order cut finite element method for the Stokes problem based on general inf-sup stable finite element spaces. We focus in particular on composite meshes consistin…
Adaptive Finite Element Solution of Multiscale PDE-ODE Systems
A. Johansson, J. H. Chaudry, V. Carey +4
We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equation…