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The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...
We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely generate ...
The deformation and fracture behaviour of a generic injection moulded structure reinforced by a robotically placed commingled glass fibre/polypropylene UD-tow (uni-directional) was simulated by finite elements. The suitability of modelling hybrid structure ...
Analytical and numerical methods for the identification of creep properties of two polymers and indium from indentation tests are compared. Creep indentation experiments are performed at fixed peak force following ramp loading: The experiments are modeled ...
We develop a discretization and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localized regions. We start with a coarse finite element discretization with a mesh s ...
In this work we provide efficient numerical methods for the numerical solution of Partial Differential Equations (PDEs) and the computation of the associated outputs of interest, also in the frame of optimal control problems. With this aim, a goal-oriented ...
We develop a discretisation and solution technique for elliptic problems whose solutions may present strong variations, singularities, boundary layers and oscillations in localised regions. We start with a coarse finite element discretisation with a mesh s ...
We present iterative subdomain methods based on a domain decomposition approach to solve the coupled Stokes/Darcy problem using finite elements. The dependence of the convergence rate on the grid parameter h and on the physical data is discussed; some diff ...
A space–time adaptive method is presented for the numerical simulation of mass transport in electroosmotic and pressure-driven microflows in two space dimensions. The method uses finite elements with large aspect ratio, which allows the electroosmotic flow ...
We investigate laminar Bunsen flames with detailed chemistry and multicomponent transport. The governing equations are discretized by a finite element method on a sequence of adaptively refined, unstructured triangulations. The finite element method is an ...
