TY - JOUR AU - Adewole, Matthew Olayiwola PY - 2018/09/25 Y2 - 2024/03/28 TI - ON FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC INTERFACE PROBLEMS JF - Journal of the Nigerian Mathematical Society JA - JNMS VL - 37 IS - 1 SE - DO - UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/170 SP - AB - 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. ER -