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    JI Xiao-mei, WANG Shu, WANG Ke. The Convergence of a Finite Element Method for the Initialboundary Value Problem to Linear Scalar Conservation Laws[J]. Journal of Beijing University of Technology, 2007, 33(4): 428-432. DOI: 10.3969/j.issn.0254-0037.2007.04.018
    Citation: JI Xiao-mei, WANG Shu, WANG Ke. The Convergence of a Finite Element Method for the Initialboundary Value Problem to Linear Scalar Conservation Laws[J]. Journal of Beijing University of Technology, 2007, 33(4): 428-432. DOI: 10.3969/j.issn.0254-0037.2007.04.018
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    The Convergence of a Finite Element Method for the Initialboundary Value Problem to Linear Scalar Conservation Laws

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    • In this paper, a finite element method for linear scalar conservation laws is analyzed. Theconvergence towards the weak solution is proved for one-dimensional space with initial and boundaryconditions by using some subtle techniques such as the estimate of spatial derivative, perturbationtheory and weak compactness.
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