ABSTRACT We characterize the Bonnet surfaces with the single requirement that the mean curvature H of a surface in R^3 admit a reduction to an ordinary differential equation which possesses the Pai...

ABSTRACT The a priori and a posteriori error analysis in [1, 3] establishes a unified analysis for different finite element approximations to regular roots of nonlinear partial differential equatio...

ABSTRACT Recent advances in the nonconforming FEM approximation of elliptic PDE eigenvalue problems include the guaranteed lower eigenvalue bounds (GLB) and its adaptive finite element computation....

ABSTRACT The wave fields propagating in the presence of small-scaled particles are usually approximated via linear combinations of interacting point-sources (as poles and dipoles)....

ABSTRACT Deep-learning techniques represent nowadays the state of the art in image and video restoration....

ABSTRACT Poroelasticity inspects the interaction among elastic deformations and fluid flow within a porous material....

ABSTRACT I will discuss discretisations for a fluid-poroelasticity interaction model....

ABSTRACT In the presence of closely located inclusions in elastic composite materials consisting of inclusions and a matrix of different material properties, the stress represented by the gradient ...

ABSTRACT Markov chain Monte Carlo (MCMC) is a powerful and well-known class of methods aimed to sample from probability distributions....

ABSTRACT Deep neural networks have brought transformative changes in areas such as image recognition and healthcare, yet their underlying theoretical principles remain somewhat elusive....