Stability and conditioning of immersed finite element methods: analysis and remedies

F de Prenter, CV Verhoosel, EH van Brummelen… - … Methods in Engineering, 2023 - Springer
This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …

Stabilized isogeometric formulation of the Stokes problem on overlapping patches

X Wei, R Puppi, P Antolin, A Buffa - Computer Methods in Applied …, 2023 - Elsevier
We present a novel stabilized isogeometric formulation for the Stokes problem, where the
geometry of interest is obtained via overlapping NURBS (non-uniform rational B-spline) …

A multimesh finite element method for the Navier–Stokes equations based on projection methods

JS Dokken, A Johansson, A Massing… - Computer Methods in …, 2020 - Elsevier
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 method …

[HTML][HTML] Multimesh finite elements with flexible mesh sizes

A Johansson, MG Larson, A Logg - Computer Methods in Applied …, 2020 - Elsevier
We analyze a new framework for expressing finite element methods on arbitrarily many
intersecting meshes: multimesh finite element methods. The multimesh finite element …