H2 regularity properties of singular parameterizations in isogeometric analysis

Graphical abstract Highlights ► We consider the isogeometric method for singularly parameterized domains. ► In this case the underlying function space may not be sufficiently regular. ► We especially focus on H2 regularity for 1-, 2- and 3-dimensional domains. ► We introduce a modification scheme for the test function space to regain regularity.