ON FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC INTERFACE PROBLEMS

Authors

  • Matthew Olayiwola Adewole Mountain Top University

Abstract

We investigate the error contributed by semi discretization to the linear finite element solution of linear hyperbolic interface problems. With low regularity assumption on the solution across the interface,  almost optimal convergence rates in $L^2(\Omega)$ and $H^1(\Omega) $ norms are obtained. We do not assume that the interface could be fitted exactly. Numerical experiments are presented to support the theoretical results.

Author Biography

Matthew Olayiwola Adewole, Mountain Top University

Department of Computer Science and Mathematics, 

Lecturer

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Published

2018-09-25

How to Cite

Adewole, M. O. (2018). ON FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC INTERFACE PROBLEMS. Journal of the Nigerian Mathematical Society, 37(1). Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/170

Issue

Section

Numerics and Modeling