Five lectures on DPG methods

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Jay Gopalakrishnan This is my paper · ORCID

classification math.NAcs.NA

keywords methodsdiscontinuousfivegraduateintroducinglecturelecturesnotes

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This is a set of lecture notes introducing graduate students to the topic of Discontinuous Petrov-Galerkin (DPG) methods.

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Eliminating Gibbs Phenomena: A Non-linear Petrov-Galerkin Method for the Convection-Diffusion-Reaction Equation
math.NA 2019-08 conditional novelty 5.0 of 10

A nonlinear Petrov-Galerkin method that minimizes residuals in Lq-type norms is applied to convection-diffusion-reaction equations, numerically demonstrating that over- and undershoots near boundary layers vanish as q...