Sentence examples for approximation of the field from inspiring English sources
The finite element method is used for spatial approximation of the field, and the implicit finite-difference scheme is used for approximation of the field in time.
C0-continuous 9-noded Lagrangian biquadratic isoparametric finite elements are used for the approximation of the field variables.
The IGA-BEM is based on the combination of the isogeometric analysis (IGA) and the boundary element method (BEM), where Non-Uniform Rational B-Splines (NURBS) are employed as shape functions for geometry parameterization and approximation of the field variables.
In this case, the calculation of the piezomagnetic field for a persistent elastic wave provides a good approximation of the field for a transient elastic wave (Yamazaki, 2010).
Nonetheless, a broadly accepted approximation of the field emission current, I, is given by; I=left(frac{A{beta}^2{V}^2}{varphi}right) exp left(frac{-B{varphi}^{3/2}}{beta V}right) (1).
The gradient smoothing operation is utilized based on carefully designed node/mid-point associated gradient smoothing domains for the 1st-/2nd-order spatial approximations of the field variables at the nodes.
The coil position data and the field characteristics of the coil allowed an approximation of the electric field distribution in the brain for each stimulation target.
This is demonstrated through a computational implementation that combines a simple second-degree polynomial local approximation of the continuous field and an approximate statement of the exact evolution equations.
Right-hand side: AFM topography together with an approximation of the far-field spot area (green ellipse), diffraction-limited area (green circle), the near-field area (small blue circle), and the y-polarization direction of the incident laser.
Note that for the function evaluations we have to determine local approximations of the fields and their gradients.
An approximation of the random field is obtained using proper orthogonal decomposition (POD).
