The structural organization of biological tissues and cells often produces anisotropic transport properties. These tissues may also undergo large deformations under normal function, potentially inducing further anisotropy. A general framework for formulating constitutive relations for anisotropic transport properties under finite deformation is lacking in the literature. This study presents an ...

In this article we describe an efficient approximation of the stochastic Galerkin matrix which stems from a stationary diffusion equation. The uncertain permeability coefficient is assumed to be a log-normal random field with given covariance and mean functions. The approximation is done in the canonical tensor format and then compared numerically with the tensor train and hierarchical tensor f...

A microstrip line fabricated on a single crystal hexagonal -type ferrite substrate was utilized to achieve phase shifts of 65 /cm at -band with an external bias field of only 100 Oe. This approach utilizes the rapid variation of the -type ferrite tensor permeability near the ferromagnetic antiresonance frequency. The magnetic and microwave properties of the substrate material were characterized...

A methodology for the gridding and upscaling of geological systems characterized by channeling is presented. The overall approach entails the use of a flow-based gridding procedure for the generation of variably refined grids capable of resolving the channel geometry, a specialized full-tensor upscaling method to capture the effects of permeability connectivity, and the use of a fluxcontinuous ...