hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes by Andrea Cangiani Zhaonan Dong Emmanuil H. Georgoulis & Paul Houston

Author:Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis & Paul Houston
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

where

(5.19)

for p κ ≥ 1, and is given by

(5.20)

where C inv,4 is given in Lemma 11, and , ; note that this definition of is a generalization of the notation introduced in Chap. 4 The constant may be zero locally where ; in this case it is understood that λ κ takes the value of the first term in the minimum in (5.19). Furthermore, the mesh parameter h κ ⊥ is defined as follows:

(5.21)

with κ ♭ F as in Definition 7. Additionally, we note that the following relation holds:

(5.22)

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.