Discrete Stability of DPG Methods

This dissertation presents a duality theorem of the Aubin-Nitsche type for discontinuous Petrov Galerkin (DPG) methods. This explains the numerically observed higher convergence rates in weaker norms. Considering the specific example of the mild-weak (or primal) DPG method for the Laplace equation,...

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Bibliographic Details
Main Author: Harb, Ammar
Format: Others
Published: PDXScholar 2016
Subjects:
Online Access:http://pdxscholar.library.pdx.edu/open_access_etds/2916
http://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=3924&context=open_access_etds