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Title: A note on devising HDG+ projections on polyhedral elements
In this paper, we propose a simple way of constructing HDG+ projections on polyhedral elements. The projections enable us to analyze the Lehrenfeld–Schöberl HDG (HDG+) methods in a very concise manner, and make many existing analysis techniques of standard HDG methods reusable for HDG+. The novelty here is an alternative way of constructing the projections without using M M -decompositions as a middle step. This extends our previous results [S. Du and F.-J. Sayas, SpringerBriefs in Mathematics (2019)] (elliptic problems) and [S. Du and F.-J. Sayas, Math. Comp. 89 (2020), pp. 1745–1782] (elasticity) to polyhedral meshes.  more » « less
Award ID(s):
1818867
PAR ID:
10287392
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Mathematics of Computation
Volume:
90
Issue:
327
ISSN:
0025-5718
Page Range / eLocation ID:
65 to 79
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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