Extension Operators for Trimmed Spline Spaces

05/13/2022
by   Erik Burman, et al.
0

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.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset