In this work we construct novel H (sym Curl)-conforming finite elements for the recently
introduced relaxed micromorphic sequence, which can be considered as the completion of …

The Hilbert spaces H (curl) and H (div) are employed in various variational problems
formulated in the context of the de Rham complex in order to guarantee well-posedness …

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 …

The theory of abstract Friedrichs operators was introduced some fifteen years ago with the
aim of providing a more comprehensive framework for the study of positive symmetric …

We introduce a unified method for constructing the basis functions of a wide variety of
partially continuous tensor-valued finite elements on simplices using polytopal templates …

In this work we present a consistent reduction of the relaxed micromorphic model to its
corresponding two-dimensional planar model, such that its capacity to capture …

In this thesis, we ultimately develop first-kind boundary integral equations for boundary
value problems involving the Hodge--Dirac and Hodge--Laplace operators associated with …