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Creators/Authors contains: "Bonnet, Guillaume"

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  1. ; ; (, Mathematical Models and Methods in Applied Sciences)
    We propose and analyze an [Formula: see text]-conforming virtual element method (VEM) for the simplest linear elliptic PDEs in nondivergence form with Cordes coefficients. The VEM hinges on a hierarchical construction valid for any dimension [Formula: see text]. The analysis relies on the continuous Miranda–Talenti estimate for convex domains [Formula: see text] and is rather elementary. We prove stability and error estimates in [Formula: see text], including the effect of quadrature, under minimal regularity of the data. Numerical experiments illustrate the interplay of coefficient regularity and convergence rates in [Formula: see text]. 
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