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Выбор весовых функций в методе Петрова–Галеркина для интегрирования линейных одномерных уравнений конвекции–диффузии

Выбор весовых функций в методе Петрова–Галеркина для интегрирования линейных одномерных уравнений конвекции–диффузии

A class of weighting functions in the finite-element Petrov-Galerkin method that generalizes some earlier results is proposed. The corresponding semidiscrete and discrete approximations for linear one-dimensional convection-diffusion equation are constructed, its accuracy and stability are examined.

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Bibliographic Details
Main Authors: Сирик, С.В., Сальников, Н.Н., Белошапкин, В.К.
Format: Article
Language:Russian
Published: Міжнародний науково-навчальний центр інформаційних технологій і систем НАН та МОН України 2014
Series:Управляющие системы и машины
Subjects:
Новые методы в информатике
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/83282
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Summary:A class of weighting functions in the finite-element Petrov-Galerkin method that generalizes some earlier results is proposed. The corresponding semidiscrete and discrete approximations for linear one-dimensional convection-diffusion equation are constructed, its accuracy and stability are examined.

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