A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems

Authors

Younis A. Sabawi, Department of Mathematics, Faculty of Science and Health, Koya University, Koya KOY45, Kurdistan Region – F.R. Iraq, and Department of Mathematics Education, Faculty of Education, Tishk International University, Kurdistan-Iraq.Follow

Abstract

The aim of this paper is to derive a posteriori error estimatesfor semilinearparabolic interface problems. More specifically, optimal order a posteriori error analysis in the ��∞(��2)+��2(��1)-norm for semidiscrete semilinear parabolic interface problems is derived by using elliptic reconstruction technique introduced by Makridakis and Nochetto in (2003). A key idea for this technique is the use of error estimators derived for elliptic interface problems to obtain parabolic estimators that are of optimal order in space and time.

Keywords

A posteriori error estimates, Discontinuous Galerkin methods, Interface semilinear parabolic problems.

Article Type

Article

How to Cite this Article

Sabawi, Younis A. (2021) "A Posteriori L_∞ (L_2 )+L_2 (H^1 )–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems," Baghdad Science Journal: Vol. 18: Iss. 3, Article 4.
DOI: https://doi.org/10.21123/bsj.2021.18.3.0522