A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
2020
Computer Methods in Applied Mechanics and Engineering
Preserved Fulltext
In this paper, we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B-splines. This property is then exploited in two applications: the construction of efficient quasi-interpolation schemes and the numerical solution of elliptic problems using the isogeometric Galerkin method.
doi:10.1016/j.cma.2020.113230
fatcat:hjsajvksqzfb5ebpzjuwcczcye