Some Estimates for Virtual Element Methods

Authors

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

Document Type

Article

Publication Date

10-1-2017

Abstract

We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions.

Publication Source (Journal or Book title)

Computational Methods in Applied Mathematics

First Page

553

Last Page

574

Recommended Citation

Brenner, S., Guan, Q., & Sung, L. (2017). Some Estimates for Virtual Element Methods. Computational Methods in Applied Mathematics, 17 (4), 553-574. https://doi.org/10.1515/cmam-2017-0008