A Nearly Exact Discretization Scheme for the FitzHugh–Nagumo Model

The numerical simulation of construction is to obtain the desired accuracy. It depends on the theoretical basis of the calculator and selection of the various important factors in the actual operation. For this problem, this paper adopting the current code for the design of building structures as the comparison standard, using the FLUENT software, taking the numerical simulation results of a high building’s wind load shape coefficient of for example, discussing the influence of four kinds of the convective terms discretization scheme, respectively the first-order upwind, the second order upwind , power law and Quadratic upwind interpolation for convective kinematics, on the simulation results of architectural numerical wind tunnel, provides the reference for the rational use of numerical wind tunnel method.

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A Discretization Scheme for a Quasi-Hydrodynamic Semiconductor Model

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202597000475 ◽

1997 ◽

Vol 07 (07) ◽

pp. 935-955 ◽

Cited By ~ 23

Author(s):

Ansgar Jüngel ◽

Paola Pietra

Keyword(s):

Finite Elements ◽

Mixed Finite Elements ◽

Exponential Fitting ◽

Discretization Scheme ◽

Drift Diffusion Model ◽

Drift Diffusion ◽

Current Conservation ◽

Numerical Tests ◽

Finite Elements Methods ◽

Degenerate Type

A discretization scheme based on exponential fitting mixed finite elements is developed for the quasi-hydrodynamic (or nonlinear drift–diffusion) model for semiconductors. The diffusion terms are nonlinear and of degenerate type. The presented two-dimensional scheme maintains the good features already shown by the mixed finite elements methods in the discretization of the standard isothermal drift–diffusion equations (mainly, current conservation and good approximation of sharp shapes). Moreover, it deals with the possible formation of vacuum sets. Several numerical tests show the robustness of the method and illustrate the most important novelties of the model.

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Multigrid Numerical Solutions of Non-Isothermal Laminar Recirculating Flows

10.1115/imece1999-1089 ◽

1999 ◽

Author(s):

Marcelo J. S. de Lemos ◽

Maximilian S. Mesquita

Keyword(s):

Numerical Solutions ◽

Rectangular Domain ◽

Optimal Number ◽

Computational Effort ◽

Temperature Fields ◽

Two Dimensional ◽

Discretization Scheme ◽

Multigrid Algorithm ◽

Finite Volume Discretization ◽

Velocity And Temperature Fields

Abstract The present work investigates the efficiency of the multigrid numerical method applied to solve two-dimensional laminar velocity and temperature fields inside a rectangular domain. Numerical analysis is based on the finite volume discretization scheme applied to structured orthogonal regular meshes. Performance of the correction storage (CS) multigrid algorithm is compared for different inlet Reynolds number (Rein) and number of grids. Up to four grids were used for both V- and W-cycles. Simultaneous and uncoupled temperature-velocity solution schemes were also applied. Advantages in using more than one grid is discussed. Results further indicate an increase in the computational effort for higher Rein and an optimal number of relaxation sweeps for both V- and W-cycles.

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Bounds of Information Expenses in Constructing Projection Methods for Solving Ill-posed Problems

Computational Methods in Applied Mathematics ◽

10.2478/cmam-2006-0004 ◽

2006 ◽

Vol 6 (1) ◽

pp. 87-93 ◽

Cited By ~ 2

Author(s):

Sergei G. Solodky ◽

Evgeniya V. Lebedeva

Keyword(s):

Projection Methods ◽

Discretization Scheme ◽

Galerkin Discretization ◽

Ill Posed

AbstractAn approach to constructing regularized projection methods to solve illposed problems is proposed. This approach is based on a modification of the Galerkin discretization scheme. It has been established that such a modification leads to a significant reduction of information expenses compared to other known methods.

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