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math.DG2021
The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary
Slawomir Kolodziej, Ngoc Cuong Nguyen
We study weak quasi-plurisubharmonic solutions to the Dirichlet problem for the complex Monge-Amère equation on a general Hermitian manifold with non-empty boundary. We prove optim…
math.NA2021★ 1 cited
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method
Nuria Pares, Ngoc-Cuong Nguyen, Pedro Diez +1
We present a general framework to compute upper and lower bounds for linear-functional outputs of the exact solutions of the Poisson equation based on reconstructions of the field…