Piecewise H¹ functions and vector fields associated with meshes generated by independent refinements

Authors

Susanne C. Brenner, Louisiana State University
Li Yeng Sung, Louisiana State University

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