Sentence examples for gauge conditions from inspiring English sources

As L.A. Unified works through "growing pains" to revamp its evaluation process, Lucia said, his group sought to gauge conditions in other California school districts.

For gravitational units, the gauge condition is chosen so that the standard Einstein equations are recovered.

Under the Coulomb gauge condition they are formulated in the hyperbolic equation coupled with elliptic equation.

The Lorentz gauge condition makes them hyperbolic equations with the null form.

Alternatively one can use a mixed DG formulation and enforce the gauge condition (nablacdot(mu^{-1}mathbf {A}) = 0) explicitly to avoid the introduction of a regularization term [6].

To handle the divergence-free property, a Coulomb gauge condition is enforced on the vector potential to ensure its existence and uniqueness mathematically.

The scheme for the Maxwell Dirac system conserves the Lorentz gauge condition is unconditionally stable and highly efficient as our numerical examples show.

In presenting our numerical algorithm we describe how to numerically handle this problem of weak hyperbolicity, as well as how to choose an appropriate gauge condition.

The solid mechanics equations are solved in nonconservation form, with the novel application of a diffusion-like correction to enforce the gauge condition that the deformation tensor be the gradient of a vector.

Rotate the local coordinate system at r s point so that a vector potential chosen in usual form A - H y, 0, 0 in the area of electron localization should satisfy the gauge condition An = 0 [where n(r s )—the normal to the surface of the nanoparticle at r s point] with precision up to the terms l i / R 0 ≪ 1. (18).

Furthermore, the analysis is extended to the case of vector beams in which the components of the electromagnetic (EM) field are obtained based on different polarizations of the magnetic and electric vector potentials, which exactly satisfy Maxwell's vectorial equations and Lorenz' gauge condition.