# ON FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC INTERFACE PROBLEMS

## Abstract

We investigate the error contributed by semi discretizationto the 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}(Ω) and H

^{1}(Ω) norms are obtained. We do not assume that the interface could be fitted exactly. Numerical experiments are presented to support the theoretical results.

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## How to Cite

*Journal of the Nigerian Mathematical Society*,

*37*(1), 41–55. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/288