Title
Piecewise H1 functions and vector fields associated with meshes generated by independent refinements
Document Type
Article
Publication Date
1-1-2015
Abstract
We consider piecewise H functions and vector fields associated with a class of meshes generated by independent refinements and show that they can be effectively analyzed in terms of the number of refinement levels and the shape regularity of the subdomains that appear in the meshes. We derive Poincaré-Friedrichs inequalities and Korn's inequalities for such meshes and discuss an application to a discontinuous finite element method. 1
Publication Source (Journal or Book title)
Mathematics of Computation
First Page
1017
Last Page
1036
Recommended Citation
Brenner, S., & Sung, L. (2015). Piecewise H1 functions and vector fields associated with meshes generated by independent refinements. Mathematics of Computation, 84 (293), 1017-1036. https://doi.org/10.1090/s0025-5718-2014-02866-4