On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer

Autor:	K.O. Tleuov, G.Kh. G.Kh. Utepbergenova, D. Utebaev
Rok vydání:	2021
Předmět:	Convergence (routing) General Earth and Planetary Sciences Applied mathematics Moisture transfer Finite element method General Environmental Science Mathematics
Zdroj:	BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS. 102:129-141
ISSN:	2663-5011 2518-7929
DOI:	10.31489/2021m2/129-141
Popis:	In this paper difference schemes of the finite element method of a high order of accuracy for the non-stationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling of temporal and spatial variables. The stability and convergence of the constructed numerical algorithms are proved, the corresponding a priori estimates are obtained in various norms, which are used later to obtain estimates of the accuracy of the scheme under weak assumptions on the smoothness of solutions to the differential problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4b9a957a779b481cc2661d1b8ca826f4 https://doi.org/10.31489/2021m2/129-141 Zobrazit plný text záznamu