Sentence examples for basis formulation from inspiring English sources

A reduced basis formulation is presented for the efficient solution of large-scale algebraic random eigenvalue problems.

The present study uses a new mixed basis formulation of the Navier Stokes equations to numerically simulate turbines on a complex terrain.

This article proposes a novel mixed basis formulation of the governing conservation equations for general curvilinear non-orthogonal grids with the physical covariant velocity as the primary solution variable.

This task is accomplished by adopting the integrity-basis formulation where the directional damage gradient is embedded and, otherwise, allows for a neat decomposition of the material response into directional, transverse, and pure shear contributions.

The modelling is embedded into the integrity-basis formulation of transverse isotropy that allows for a neat decomposition of the contributions to the mechanical behaviour into fibre-directional, transverse, and pure shear parts.

We have recently shown that such a phenomenon can be described within the integrity-basis formulation of transverse isotropy that allows for a neat decomposition of the mechanical response into fiber-directional, transverse, and pure shear parts, the latter being used here to capture the aforementioned viscoelasticity.

This is the basis for formulation of the normalisation condition 〈1| 1〉 = 1.

The ultimate goal of this work is to form a basis for formulation of a new design method in which the power of the incident-wave pulses will be compared with the capacity of the structure to absorb this power.

Previous work in this area is used as a basis for formulation of a new approach to this problem, with particular emphasis on why a microgrid is different to centralised generation or other grid-connected decentralised energy resources.

The basis and formulation of a new approach, namely, the flexibility function approach based on simulating point supports on free edges as zeros of a flexibility function representing a fictitious elastic restraint distribution over the edges, was recently presented [1,2].

This paper presents the mathematical basis, matrix formulation, and compact Matlab implementation of an iterative finite-element solver (triangular meshes) for the eikonal-diffusion equation extended to reentrant activations, which automatically identifies the period of reentry and computes the resulting isochrones.