𝐻� 1 -Convergence of FEM-BDS for Linear Parabolic Interface Problems

Adewole, M. O

dc.contributor.author	Adewole, M. O
dc.date.accessioned	2022-07-21T09:29:53Z
dc.date.available	2022-07-21T09:29:53Z
dc.date.issued	2018-09
dc.identifier.citation	Adewole, M. O. (2018). 𝐻 1 -Convergence of FEM-BDS for Linear Parabolic Interface Problems. Journal of Computer Science & Computational Mathematics, Volume 8, Issue 3	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/817
dc.description.abstract	In this paper, I have extended the analysis done in the previous research [1] which proposed a standard finite element method with a four step time discretization. The analysis in that paper revealed that almost optimal order of convergence in the 𝐿 2(Ω)-norm is obtainable when the interface cannot be fitted exactly. I have also derived almost optimal error estimate in 𝐻1(Ω)-norm. Numerical experiments are presented in this research to support the theoretical result.	en_US
dc.description.sponsorship	Adewole, M. O	en_US
dc.language.iso	en	en_US
dc.publisher	Journal of Computer Science & Computational Mathematics	en_US
dc.relation.ispartofseries	8;3
dc.subject	finite element method, interface, almost-optimal, parabolic equation, implicit scheme.	en_US
dc.title	𝐻 1 -Convergence of FEM-BDS for Linear Parabolic Interface Problems	en_US
dc.type	Article	en_US