4 papers
Constructing limit surfaces from unstructured splines via averaging and refinement
Syeda Hijab Zahra, Thomas Takacs
In this paper we present a construction for unstructured splines over quadrilateral meshes by iterative averaging and refinement. We represent the spline as a multi-patch B-spline,…
Robust approximation error estimates for analysis-suitable isogeometric multi-patch discretizations
Fatima Hasanova, Stefan Takacs, Thomas Takacs
We prove -robust approximation error estimates for -conforming isogeometric discretizations over planar multi-patch domains. Possible applications are fourth order boundary…
Isogeometric mortar method
Andrea Benvenuti, Gabriele Loli, Giancarlo Sangalli +1
We present an isogeometric mortar method for the discretization of the biharmonic equation posed on multi-patch domains. We assume only -conformity at interfaces and employs a…
A comparison of smooth basis constructions for isogeometric analysis
H. M. Verhelst, P. Weinmüller, A. Mantzaflaris +2
In order to perform isogeometric analysis with increased smoothness on complex domains, trimming, variational coupling or unstructured spline methods can be used. The latter two cl…