The implementation of hp hp-adaptivity is challenging as hanging nodes, edges, and faces
have to be constrained to ensure compatibility of the shape functions. For this reason, most …

We present a detailed analysis of the convergence properties of the finite cell method which
is a fictitious domain approach based on high order finite elements. It is proved that …

In the current paper we present a fast, reliable technique for simulating wave propagation in
complex structures made of heterogeneous materials. The proposed approach, the spectral …

The spectral cell method has been shown as an efficient tool for performing dynamic
analyses over complex domains. Its good performance can be attributed to the combination …

While performing explicit dynamic analyses in a finite element context, engineers must often
balance the accuracy and robustness of a model against the computational savings offered …

During the last ten years, increasing efforts were made to improve and simplify the process
from Computer Aided Design (CAD) modeling to a numerical simulation. It has been shown …

Abstract The recently introduced Finite Cell Method combines the fictitious domain idea with
the benefits of high-order finite elements. Although previous publications demonstrated the …

In the current article, we present an efficient and accurate numerical method for the
integration of the system matrices in fictitious domain approaches such as the finite cell …

This article introduces a robust and efficient numerical tool that is well suited for the
simulation of ultrasonic guided waves and can be especially helpful when dealing with …

In the current article, we extend the two-dimensional version of the finite cell method (FCM),
which has so far only been used for structured quadrilateral meshes, to unstructured …