Sascha Duczek

TL;DR: Higher order finite element methods with polynomial degrees p>2 are proposed and their capabilities are verified to verify their capabilities with respect to accuracy and numerical performance in Structural Health Monitoring applications.

TL;DR: The state-of-the-art in numerical wave propagation analysis on guided wave-based structural health monitoring (SHM) applications is reviewed, and various numerical methods are discussed and assessed with respect to their capability of simulating guided wave propagation phenomena.

TL;DR: In this article, the spectral cell method is proposed to combine the finite cell method with the spectral element method for the analysis of wave propagation phenomena, which is referred to as the spectralcell method.

TL;DR: The spectral cell method as mentioned in this paper is a combination of the finite cell method and the spectral element method that significantly lowers preprocessing and computational expenditure, taking advantage of explicit timeintegration schemes coupled with a diagonal mass matrix to reduce the time spent on solving the equation system.

TL;DR: In this article, the authors compare the performance of three established methods including the row-sum method, the nodal quadrature method, and the diagonal scaling method and show a direct equivalence between these three approaches.