Ever since the publication of the 99-line topology optimization MATLAB code (top99) by
Sigmund in 2001, educational articles have emerged as a popular category of contributions …

A critical step in topology optimization (TO) is finding sensitivities. Manual derivation and
implementation of sensitivities can be quite laborious and error-prone, especially for non …

Computational Fluid Dynamics (CFD), blending disciplines like fluid mechanics and
computer science, plays a pivotal role in various engineering and scientific endeavors …

We investigate numerically via finite element (FE) simulations and analytically the nonlinear
behavior of a soft matrix comprising a large volume fraction (up to 55%) of monodisperse …

We present an approach to the coupling of mixed-dimensional continua by employing the
mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the …

We present a black-box method to numerically investigate the linear stability of arbitrary
multi-physics problems. While the user just has to enter the system's residual in weak …

Analytical differentiation for a smooth and accurate sensitivity field is typically used for
efficient structural and multidisciplinary optimization. However, it can be challenging for …

We propose in this paper two kinds of continuity preserving discrete shape gradients of
boundary type for PDE-constrained shape optimizations. First, a modified boundary shape …

The eigenmodes of resonating structures, eg, electromagnetic cavities, are sensitive to
deformations of their shape. In order to compute the sensitivities of the eigenpair with …

We consider the energy dissipation minimization constrained by steady Navier–Stokes
flows. The nonlinearity of the Navier–Stokes equation causes its numerical solver …