H-Adaptive Finite Element Methods for 1D Stationary High Gradient Boundary Value Problems

Autor:	Collins Olusola Akeremale, Oluwasegun Adeyemi Olaiju, Su Hoe Yeak
Rok vydání:	2021
Předmět:	Applied Mathematics Modeling and Simulation Engineering (miscellaneous)
Zdroj:	Mathematical Modelling of Engineering Problems. 8:967-973
ISSN:	2369-0747 2369-0739
DOI:	10.18280/mmep.080617
Popis:	This article considered the traditional finite element method (FEM) and adaptive finite element method (FEM) for the numerical solution of the one-dimensional boundary value problems. We established the preference or the superiority of the h-adaptive FEM to traditional FEM in high gradient problems in terms of accuracy and cost of computation. Numerical examples which confirm the performance and adaptability of the h-adaptive method over the traditional finite element method and the high accuracy of the numerical solution are presented. Detailed error analysis of linear elements was also discussed. In conclusion, h-adaptive FEM is recommended for complex systems with high gradient problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7702c045f0f06a68e23b1514e4724dea https://doi.org/10.18280/mmep.080617 Zobrazit plný text záznamu