We survey recent contributions to finite element exterior calculus on manifolds and surfaces, giving a comprehensive formalism for the error analysis of vector-valued partial differential equations on manifolds. We first discuss uniformly bounded commuting ...
Springer Science and Business Media Deutschland GmbH2025
The p-Laplacian problem -del & sdot; ((mu + |del u|(p-2))del u) = f is considered, where mu is a given positive number. An anisotropic a posteriori residual-based error estimator is presented. The error estimator is shown to be equivalent, up to higher ord ...
In this paper, we experimentally demonstrate the ability to move an object in disordered and dynamic media by using acoustic waves for transferring linear or angular momentum to the object. In contrast to the remarkable results that have been achieved in o ...
Institute of Electrical and Electronics Engineers Inc.2024
We prove a frequency-independent bound on trigonometric functions of a class of singular Gaussian random fields, which arise naturally from weak universality problems for singular stochastic PDEs. This enables us to reduce the regularity assumption on the ...
Non-Newtonian fluids are present in most manufacturing industry processes. Computa-tional models used to describe the rheological behavior of such materials can be costly due to the non-linear behavior of the viscosity. This work presents a parametrized pr ...
The development of mechanical models relating the state of strains and the resistance of reinforced concrete structures has become a trend in the last decades. These types of models are referred to as strain-based approaches. Since strain-based approaches ...
The last decade has seen the development of a wide set of tools, such as wavefront shaping, computational or fundamental methods, that allow us to understand and control light propagation in a complex medium, such as biological tissues or multimode fibers. ...
We address the problem concerning the origin of quantum anomalies, which has been the source of disagreement in the literature. Our approach is novel as it is based on the differentiability properties of families of generalized measures. To this end, we in ...
Eigenmodes are central to the study of resonant phenomena in all areas of physics.
However, their use in nano-optics seems to have been hindered and delayed for various
reasons. First, due to their small size, the response of nanostructures to a far-field
...
