In this work we develop new finite element discretisations of the shear-deformable Reissner–
Mindlin plate problem based on the Hellinger–Reissner principle of symmetric stresses …

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 classical Cauchy continuum theory is suitable to model highly homogeneous materials.
However, many materials, such as porous media or metamaterials, exhibit a pronounced …

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 explore the physics of relativistic gapless phases defined by a mixed anomaly between
two generalized conserved currents. The gapless modes can be understood as Goldstone …

New low-order H (div)-conforming finite elements for symmetric tensors are constructed in
arbitrary dimension. The space of shape functions is defined by enriching the symmetric …

We show that the de Rham Hilbert complex with mixed boundary conditions on bounded
strong Lipschitz domains is closed and compact. The crucial results are compact …

In this paper we envision how to tackle a particularly challenging problem which presents
highly interdisciplinary features, ranging from biology to engineering: the dynamic …

We construct finite element Stokes complexes on tetrahedral meshes. In the lowest-order
case, the finite elements in the complex have 4, 18, 16, and 1 degrees of freedom on each …

A new $ H (\operatorname {div}\operatorname {div}) $-conforming finite element is
presented, which avoids the need for supersmoothness by redistributing the degrees of …