Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems
Keyword(s):
AbstractThe focus of this paper is the analysis of families of hybridizable interior penalty discontinuous Galerkin methods for second order elliptic problems. We derive a priori error estimates in the energy norm that are optimal with respect to the mesh size. Suboptimal L2-norm error estimates are proven. These results are valid in two and three dimensions. Numerical results support our theoretical findings, and we illustrate the computational cost of the method.
2004 ◽
Vol 42
(3)
◽
pp. 1146-1166
◽
2009 ◽
Vol 47
(1)
◽
pp. 508-533
◽
2009 ◽
Vol 78
(265)
◽
pp. 1-1
◽
2014 ◽
Vol 54
(3)
◽
pp. 474-490
◽
2006 ◽
Vol 75
(255)
◽
pp. 1067-1086
◽
2017 ◽
Vol 74
(3)
◽
pp. 1651-1676
◽
2009 ◽
Vol 47
(2)
◽
pp. 1319-1365
◽
2004 ◽
Vol 12
(1)
◽
pp. 1-21
◽