Burman, E;
Claus, S;
Hansbo, P;
Larson, MG;
Massing, A;
(2014)
CutFEM: Discretizing geometry and partial differential equations.
International Journal for Numerical Methods in Engineering
, 104
(7)
pp. 472-501.
10.1002/nme.4823.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | CutFEM: Discretizing geometry and partial differential equations |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1002/nme.4823 |
| Publisher version: | http://dx.doi.org/10.1002/nme.4823 |
| Language: | English |
| Additional information: | © 2014 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Extended finite element method; unfitted methods; finite element methods; meshfree methods; Galerkin; level sets, stability |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1471066 |
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