A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation

Document Type : Research Paper


1 Department of Mathematics, Imam Khomeini International University, Qazvin, Iran

2 Department of Mathematics, Kashan University, Kashan, Iran


In this article, we study the new streamline diffusion finite
element for treating the linear second order hyperbolic
initial-boundary value problem. We prove a posteriori $ L^2(L^2)$
and error estimates for this method under minimal regularity
hypothesis. Test problem of an application of the wave equation
in the laser is presented to verify the efficiency and accuracy
of the method.


Main Subjects