in this work, we dissect the performance of  two modern perdew-burke-ernzerhof (pbe)-based double-hybrid (dh) density functionals to predict the isotropic and anisotropic polarizabilities of water nanoclusters (h2o)n [n = 2-6]. the considered models include the cubic integrand (ci) and quadratic integrand (qi) functions as well as the spin-opposite-scaled (sos) scheme for perturbative correlati...

In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type inequality are shown.

In this paper, a new anisotropic diffusion noise filtering technique is proposed. The technique has two specific features: it is designed for vector-valued images in general and for color images in particular, and it is a multiresolution technique, using wavelet transforms. The vector-valued feature is based on the first fundamental form, which reflects the edge information of a vector-valued i...

The diffraction beam from an anisotropic, random, rough surface is investigated. Two kinds of anisotropic surfaces with either a correlation-length anisotropy or a scaling anisotropy are considered. For the correlationlength anisotropic surface with an isotropic scaling, the shape of the diffraction beam directly reflects the surface anisotropy under any diffraction condition. However, for the ...

The Holzapfel-Gasser-Ogden (HGO) model for anisotropic hyperelastic behaviour of collagen fibre reinforced materials was initially developed to describe the elastic properties of arterial tissue, but is now used extensively for modelling a variety of soft biological tissues. Such materials can be regarded as incompressible, and when the incompressibility condition is adopted the strain energy Ψ...

The Stefan problem with Gibbs-Thomson law describes solidification phenomena for pure substances. In applications the surface energy is anisotropic leading to an anisotropic Gibbs-Thomson law. We show the existence of weak solutions to the Stefan problem with anisotropic Gibbs-Thomson law using an implicit time discretization, and variational methods in an anisotropic BV setting. Our main resul...

Background: There is no consistent data on the mechanical properties of sheep intestine. OBJECTIVES: We performed a series of biaxial strain measurement experiments and extracted the constitutive model to describe the mechanical characteristics of the sheep intestinal tissue. METHODS: Eleven specimens were obtained freshly from sacrificed  sheep and the planar biaxial tests were performed on th...