English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The weak Galerkin (WG) finite element method has shown great potential insolving various type of partial differential equations. In this paper, wepropose an arbitrary order locking-free WG method for solving linear elasticityproblems, with the aid of an appropriate $H(div)$-conforming displacementreconstruction operator. Optimal order locking-free error estimates in both the$H^1$-norm and the $L^2$-norm are proved, i.e., the error is independent of the$Lam\acute{e}$ constant $\lambda$. Moreover, the term $\lambda\|\nabla\cdot\mathbf{u}\|_k$ does not need to be bounded in order to achieve theseestimates. We validate the accuracy and the robustness of the proposedlocking-free WG algorithm by numerical experiments.

An arbitrary order locking-free weak Galerkin method for linear elasticity problems based on a reconstruction operator