A posteriori analysis of the spectral element discretization of a non linear heat equation

Autor:	Abdelwahed Mohamed, Chorfi Nejmeddine
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	non linear heat equation spectral elements discretization error indicators a posteriori analysis 35j57 65m70 Analysis QA299.6-433
Zdroj:	Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 477-493 (2020)
Druh dokumentu:	article
ISSN:	2191-9496 2191-950X
DOI:	10.1515/anona-2020-0140
Popis:	The paper deals with a posteriori analysis of the spectral element discretization of a non linear heat equation. The discretization is based on Euler’s backward scheme in time and spectral discretization in space. Residual error indicators related to the discretization in time and in space are defined. We prove that those indicators are upper and lower bounded by the error estimation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b58eeaba11e44458b069bcea7f3e5cf4 Zobrazit plný text záznamu View record in DOAJ