Isogeometric analysis with strong multipatch C1-coupling

In this contribution, a general framework for coupling surfaces in space is presented as well as an approach to overcome C1-locking by local degree elevation along the patch interfaces. This allows the modeling of solutions to 4th order PDEs on complex geometric surfaces, provided that the given patches have G1 continuity. Numerical studies are conducted for problems involving linear elasticity, Kirchhoff-Love shells and Cahn-Hilliard equation.