CutFEM: Discretizing geometry and partial differential equations

By Erik Burman, Susanne Claus, Peter Hansbo, Mats G. Larson, André Massing. 2015

808 citations recorded by the source corpus.

We discuss recent advances on robust unfitted finite element methods on cut meshes. These methods are designed to facilitate computations on complex geometries obtained, for example, from computer‐aided design or image data from applied sciences. Both the treatment of boundaries and interfaces and the discretization of PDEs on surfaces are discussed and illustrated numerically. Copyright © 2014 John Wiley & Sons, Ltd.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/704b605c4a714ef9f2803d71b2eafaf2246938b6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Xiu-li Du
2. Wei Li
3. Hong Zheng

In Mechanics of Materials

1. Wei Li
2. Hong Zheng
3. Xiu-li Du
4. Yongtao Yang
5. Wenan Wu

Citations in the corpus

• A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media (2018, neutral): “We mention here that an alternative approach is to use the CutFEM technology, see [12] for a stationary convection problem and [10] for a general introduction to CutFEM.”
• Exact imposition of essential boundary condition and material interface continuity in Galerkin‐based meshless methods (2017, methodology): “By and large, some techniques adopted in the treatment of the essential boundary condition, such as the Nitsche procedure [19, 20], can also be utilized to treat the material interface.”