A PDE-constrained optimization approach to the discontinuous Petrov – Galerkin method with a trust region inexact Newton-CG solver

Abstract

We propose a partial-differential-equation-constrained (PDE-constrained) approach to the discontinuous Petrov–Galerkin (DPG) of Demkowicz and Gopalakrishnan (2010, 2011). This view opens the door to invite all the state-of-the-art PDE-constrained techniques to be part of the DPG framework, and hence enabling one to solve large-scale and difficult (nonlinear… (More)

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