Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. Part I

Content Provider	Semantic Scholar
Author	Rivière, Béatrice Wheeler, Mary F. Girault, Vivette
Copyright Year	1999
Abstract	Three Galerkin methods using discontinuous approximation spaces are introduced to solve elliptic problems. The underlying bilinear form for all three methods is the same and is nonsymmetric. In one case, a penalty is added to the form and in another, a constraint on jumps on each face of the triangulation. All three methods are locally conservative and the third one is not restricted. Optimal a priori hp error estimates are derived for all three procedures.
Starting Page	337
Ending Page	360
Page Count	24
File Format	PDF HTM / HTML
DOI	10.1023/A:1011591328604
Alternate Webpage(s)	https://page-one.springer.com/pdf/preview/10.1023/A:1011591328604
Alternate Webpage(s)	https://doi.org/10.1023/A%3A1011591328604
Volume Number	3
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article