Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation647664640END.RostamyDepartment of Mathematics, Imam Khomeini International University,
Qazvin, IranF.ZabihiDepartment of Mathematics, Kashan University, Kashan, IranJournal Article20120709In 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.http://bims.iranjournals.ir/article_640_b898ea789b26c9d0b125a9a8837bba03.pdf