Typical areas of application of explicit dynamics are impact, crash test, and most importantly,
wave propagation simulations. Due to the numerically highly demanding nature of these …

We present a mass lumping approach based on an isogeometric Petrov–Galerkin method
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …

Explicit time integration methods are an integral part of solving structural dynamics problems
such as the propagation of elastic and acoustic waves, impact scenarios including crash …

Explicit time integration schemes coupled with Galerkin discretizations of time-dependent
partial differential equations require solving a linear system with the mass matrix at each …

Although the consistent mass isogeometric formulation enjoys superior frequency accuracy
compared with the conventional finite element method, the lumped mass isogeometric …

We investigate the behavior of different shape functions for the discretization of hyperbolic
problems. In particular, we consider classical Lagrange polynomials and B‐splines. The …

This work presents a new ultrasonic imaging framework for non-destructive evaluation of
components with vertical or steeply dipping surfaces and demonstrates its ability of …

The scaled boundary finite element method (SBFEM) is a semi-analytical approach to
solving partial differential equations, in which a finite element approximation is deployed for …

We present, for the first time, the application of explicit time-stepping schemes within the
context of the scaled boundary finite element method (SBFEM). To this end, we discuss in …

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 …