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20112026
most citedBreaking spaces and forms for the DPG method and applications including Maxwell equations

153 citations · 333 across the 25 of their papers we have counts for

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math.NA2026

Global error estimators for parametric monotone nonlinearities and neural approximations

Pablo Cortés Castillo, Wolfgang Dahmen, Jay Gopalakrishnan

We construct computable error estimators, which double as loss functions for neural networks, for a class of parametric nonlinear partial differential equations with a monotonicity…

math.NA2026

Fortin operators for DPG advection discretizations

Pablo Cortés Castillo, Jay Gopalakrishnan

We construct Fortin operators for discontinuous Petrov-Galerkin (DPG) discretizations of the advection equation with a piecewise constant divergence-free advection vector , on s…