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Nonconforming virtual element method for general second-order elliptic problems on curved domain

Published 24 Oct 2024 in math.NA and cs.NA | (2410.18526v1)

Abstract: This paper introduces a nonconforming virtual element method for general second-order elliptic problems with variable coefficients on domains with curved boundaries and curved internal interfaces. We prove arbitrary order optimal convergence in the energy and $L2$ norms, confirmed by numerical experiments on a set of polygonal meshes. The accuracy of the numerical approximation provided by the method is shown to be comparable with the theoretical analysis.

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