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

نویسندگان

  • D. Rostamy Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
  • F. Zabihi Department of Mathematics, Kashan University, Kashan, Iran
چکیده مقاله:

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.

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عنوان ژورنال

دوره 41  شماره 3

صفحات  647- 664

تاریخ انتشار 2015-06-01

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