Poincaré-friedrichs inequalities for piecewise H² functions

Authors

Susanne C. Brenner, University of South Carolina
Kening Wang, University of South Carolina
Jie Zhao, University of South Carolina

Document Type

Article

Publication Date

12-1-2004

Abstract

Poincaré-Friedrichs inequalities are derived for piecewise H functions on two dimensional domains. These inequalities can be applied to classical nonconforming finite element methods, mortar methods and discontinuous Galerkin methods. 2

Publication Source (Journal or Book title)

Numerical Functional Analysis and Optimization

First Page

463

Last Page

478

Recommended Citation

Brenner, S., Wang, K., & Zhao, J. (2004). Poincaré-friedrichs inequalities for piecewise H² functions. Numerical Functional Analysis and Optimization, 25 (5-6), 463-478. https://doi.org/10.1081/NFA-200042165