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doi: 10 · DOI 10.1007/s10444-024-10158-z

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math.NA 1

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2026 1

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Nonconforming virtual element method for the Monge-Amp\`ere equation

math.NA · 2026-04-24 · unverdicted · novelty 5.0

A nonconforming virtual element method is developed for the vanishing moment approximation of the Monge-Ampère equation in 2D, with optimal a priori error estimates in H2, H1 and L2 norms plus existence and uniqueness of the discrete solution.

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  • Nonconforming virtual element method for the Monge-Amp\`ere equation math.NA · 2026-04-24 · unverdicted · none · ref 37

    A nonconforming virtual element method is developed for the vanishing moment approximation of the Monge-Ampère equation in 2D, with optimal a priori error estimates in H2, H1 and L2 norms plus existence and uniqueness of the discrete solution.