ALMOST OPTIMAL CONVERGENCE OF FEM-FDM FOR A LINEAR PARABOLIC INTERFACE PROBLEM

Adewole, M. O

dc.contributor.author	Adewole, M. O
dc.date.accessioned	2022-07-21T09:43:57Z
dc.date.available	2022-07-21T09:43:57Z
dc.date.issued	2017-08-28
dc.identifier.citation	Adewole, M. O. (2017). ALMOST OPTIMAL CONVERGENCE OF FEM-FDM FOR A LINEAR PARABOLIC INTERFACE PROBLEM. Electronic Transactions on Numerical Analysis. Volume 46, pp. 337–358	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/821
dc.description.abstract	The solution of a second-order linear parabolic interface problem by the finite element method is discussed. Quasi-uniform triangular elements are used for the spatial discretization while the time discretization is based on a four-step implicit scheme. The integrals involved are evaluated by numerical quadrature, and it is assumed that the mesh cannot be fitted to the interface. With low regularity assumption on the solution across the interface, the stability of the method is established, and an almost optimal convergence rate of O k 4 + h 2 1 + 1 \| log h\| in the L2 (Ω)-norm is obtained. In terms of matrices arising in the scheme, we show that the scheme preserves the maximum principle under certain conditions. Numerical experiments are presented to support the theoretical results.	en_US
dc.description.sponsorship	Adewole, M. O	en_US
dc.language.iso	en	en_US
dc.publisher	Electronic Transactions on Numerical Analysis	en_US
dc.relation.ispartofseries	46;
dc.subject	finite element method, interface, almost optimal, parabolic equation, implicit scheme	en_US
dc.title	ALMOST OPTIMAL CONVERGENCE OF FEM-FDM FOR A LINEAR PARABOLIC INTERFACE PROBLEM	en_US
dc.type	Article	en_US