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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Format: | Others |
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PDXScholar
2016
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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 |