Imposing Essential Boundary Conditions in Isogeometric Analysis with Nitsche’s Method

Isogeometric Analysis combines the NURBS technology and finite element approaches into a unified framework. Regrettably, the NURBS basis functions don’t interpolate at the control points, which lead to the difficulty for imposing the essential boundary conditions. A new approach inspired by Nitsche’s notion was proposed in order to remedy this issue. The essential boundary constraints are enforced by the consistent penalty terms. It has some...