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Award ID contains: 1719849

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  1. ; (, Numerische Mathematik)
    Uniqueness of the finite element solution for nonmonotone quasilinear problems of elliptic type is established in one and two dimensions. In each case, we prove a comparison theorem based on locally bounding the variation of the discrete solution over each element. The uniqueness follows from this result, and does not require a globally small meshsize. 
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