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Extension operators for trimmed spline spaces

Authors
  • Burman, Erik
  • Hansbo, Peter
  • Larson, Mats G.
  • Larsson, Karl
Publication Date
Jan 01, 2023
Identifiers
DOI: 10.1016/j.cma.2022.115707
OAI: oai:DiVA.org:umu-200655
Source
DiVA - Academic Archive On-line
Keywords
Language
English
License
Green
External links

Abstract

We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions of degree p with k 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.

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