  We consider the linearized elasticity equation, discretized with multi-patch
Isogeometric Analysis. A standard discretization error analysis is based on
Korn's inequality, which degrades for certain geometries, such as long and thin
cantilevers. This phenomenon is known as geometry locking. We observe that
high-order methods, like Isogeometric Analysis is beneficial in such a setting.
The main focus of this paper is the construction and analysis of a domain
decomposition solver, namely an Isogeometric Tearing and Interconnecting (IETI)
solver, where we prove that the convergence behavior does not depend on the
constant of Korn's inequality for the overall domain, but only on the
corresponding constants for the individual patches. Moreover, our analysis is
explicit in the choice of the spline degree. Numerical experiments are provided
which demonstrates the efficiency of the proposed solver.
