On the solution continuity in multipatch C0/C1 coupling using Isogeometric domain decomposition methods
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Isogeometric Analysis (IGA) has gained significant attention as a powerful computational framework that seamlessly integrates computer-aided design (CAD) and finite element analysis (FEA). However, ensuring solution continuity across multiple patches remains a fundamental challenge. This study investigates the continuity of solutions in multipatch settings using Isogeometric Domain Decomposition Methods, focusing on the transition between C0 and C1 coupling across subdomains. In particular we develop a set of benchmarks that study the effect on the solution continuity of important parameters such as discretization, interface curvature or mesh alignment between patchs or w.r.t the interface. We particularly focus on IETI, the isogeometric counterpart of the well-known FETI method, and study the behavior of the method in terms of iterative convergence.