A uniform estimate for the ELLAM scheme for transport equations |
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| Authors: | Kaixin Wang Hong Wang |
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| Institution: | 1. School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, China;2. Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208 |
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| Abstract: | We prove a priori error estimate in a weighted energy norm for the Eulerian‐Lagrangian localized adjoint method (ELLAM) for the transport equations, without any special refinement or numerical stabilization introduced. The estimate holds uniformly with respect to ?. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008 |
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| Keywords: | characteristic methods Eulerian‐Lagrangian methods transport equations uniform estimates |
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