Burman, Erik;
Hansbo, Peter;
Larson, Mats G;
Larsson, Karl;
(2023)
Extension operators for trimmed spline spaces.
Computer Methods in Applied Mechanics and Engineering
, 403
(Part A)
, Article 115707. 10.1016/j.cma.2022.115707.
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Abstract
We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree with continuous derivatives. The construction is based on polynomial extension from neighboring elements together with projection back into the spline space. We prove stability and approximation results for the extension operator. Finally, we illustrate how we can use the extension operator to construct a stable cut isogeometric method for an elliptic model problem.
| Type: | Article |
|---|---|
| Title: | Extension operators for trimmed spline spaces |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.cma.2022.115707 |
| Publisher version: | https://doi.org/10.1016/j.cma.2022.115707 |
| Language: | English |
| Additional information: | © 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Discrete extension operators; Trimmed spline spaces; Cut isogeometric methods; Unfitted finite element methods |
| UCL classification: | 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 UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10158539 |
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