A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
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Abstract:
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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Journal title
volume 41 issue 3
pages 647- 664
publication date 2015-06-01
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