A POSTERIORI L2(L2)-ERROR ESTIMATES WITH THE NEW VERSION OF STREAMLINE DIFFUSION METHOD FOR THE WAVE EQUATION

Abstract. In this article, we study the new streamline diffusion nite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori L2(L2) and error estimates for this method under minimal regularity hypothesis. Test problem of an applica- tion of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.