An efficient mass lumping scheme for isogeometric analysis based on approximate dual basis functions

Understand

In this contribution, we provide a new mass lumping scheme for explicit dynamics in isogeometric analysis (IGA).

• To this end, an element formulation based on the idea of dual functionals is developed.
• Non-Uniform Rational B-splines (NURBS) are applied as shape functions and their corresponding dual basis functions are applied as test functions in the variational form, where two kinds of dual basis functions are compared.
• The first type are approximate dual basis functions (AD) with varying degree of reproduction, resulting in banded mass matrices.