Isogeometric $C^1$ mortar method
Numerical Analysis
2025-10-08 v3 Numerical Analysis
Abstract
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 mortar approach to weakly enforce -continuity across patch interfaces. Discrete inf-sup stability is ensured by selecting a Lagrange multiplier space consisting of splines of degree reduced by two compared to the primal space, with increased smoothness or merged elements near vertices. We prove optimal a priori error estimates and confirm the theoretical findings with a series of numerical experiments.
Cite
@article{arxiv.2303.07255,
title = {Isogeometric $C^1$ mortar method},
author = {Andrea Benvenuti and Gabriele Loli and Giancarlo Sangalli and Thomas Takacs},
journal= {arXiv preprint arXiv:2303.07255},
year = {2025}
}