discretization


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discretization

[dis‚krēd·ə′zā·shən]
(mathematics)
A procedure in the numerical solution of partial differential equations in which the domain of the independent variable is subdivided into cells or elements and the equations are expressed in discrete form at each point by finite difference, finite volume, or finite element methods.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The scheme S with the standard-type spatial discretization [19] has the form
However, the analysis and evaluation of discretization behaviors in SMC systems has proved to be a difficult task due to the lack of work done on this topic.
In [34], we were inspired by looking at the time variable t in a parabolic problem as just another variable, say, [x.sub.d+1] if [x.sub.1],..., [x.sub.d] are the spatial variables, and at the time derivative as a strong convection in the direction [x.sub.d+1] that can numerically be treated in a stable way by special discretization techniques known from convection-dominated elliptic convection-diffusion problems; see, e.g., [49].
For the DGFEM-0 spatial discretization, Azmy estimated the residual using Taylor expansion and inverted the discrete transport operator using the residual as a source to estimate the error [9].
The variational discretization approach is used to deal with the control and the error estimates are obtained in some norms.
(i) Whitney's discretization [20], where a connection [theta] [member of] C(P) is integrated on the 1-vertices of the chosen triangulation.
With a robust method for inverting the Laplace transform we may then hybridize the transform with a discretization technique.
Continuous models based on systems of ordinary or partial differential equations have been investigated under proper criteria of discretization in this special issue.
As just described, applying the discretization step of the data conversion process results in a presence-absence matrix with the same dimensions as the concentration matrix.
Caption: FIGURE 3: The RL spectrum of an MA-CDR array calculated at different discretization step sizes (a), zoomed part of the RL spectrum (b), and top view of the CDR including the discretization mesh at different levels in (c).
The rest of this paper is organized as follows: Section 2 presents the generation procedures of concrete mesostructure; the FE modeling methodology including mesh discretization, insertion of ITZ elements, and constitutive modeling of mortar and ITZ is described in Section 3; in Section 4, the effects of voids on concrete tensile fracturing are discussed in detail based on the simulation results of several concrete specimens with different mesostructures; finally, the study is summarized with conclusions in Section 5.