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math.NA2026
Nonconforming virtual element method for the Monge-Ampère equation
Scott Congreve, Alice Hodson, Anwesh Pradhan
In this article, we develop the -nonconforming -conforming virtual element method (VEM) for the vanishing moment approximation of the second-order fully nonlinear Monge-A…
math.NA2024
A posteriori error analysis of the virtual element method for second-order quasilinear elliptic PDEs
Scott Congreve, Alice Hodson
In this paper we develop a -conforming virtual element method (VEM) for a class of second-order quasilinear elliptic PDEs in two dimensions. We present a posteriori error anal…