The finite cell method is an embedded domain method, which combines the fictitious domain
approach with higher-order finite elements, adaptive integration, and weak enforcement of …

The production of lightweight metal lattice structures has received much attention due to the
recent developments in additive manufacturing (AM). The design flexibility comes, however …

Metal additive manufacturing (AM) as an emerging manufacturing technique has been
gradually accepted to manufacture end-use components. However, one of the most critical …

Nitsche's method can be used as a coupling tool for non-matching discretizations by weakly
enforcing interface constraints. We explore the use of weak coupling based on Nitsche's …

Laser powder bed metal additive manufacturing (AM) has been widely accepted by the
industry to manufacture end-use components with complex geometry to achieve desirable …

Abstract Selective Laser Melting (SLM) technology has undergone significant development
in the past years providing unique flexibility for the fabrication of complex metamaterials …

The advent of isogeometric analysis (IGA) using the same basis functions for design and
analysis constitutes a milestone in the unification of geometric modeling and numerical …

Enforcing essential boundary conditions plays a central role in immersed boundary
methods. Nitsche's idea has proven to be a reliable concept to satisfy weakly boundary and …

In the first part of this chapter the basic algorithmic structure and performance characteristics
of the p-version of the finite element method are surveyed with reference to elliptic problems …

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 …