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

We use the augmented Lagrangian formalism to derive discontinuous Galerkinformulations for problems in nonlinear elasticity. In elasticity stress istypically a symmetric function of strain, leading to symmetric tangentstiffness matrices in Newtons method when conforming finite elements are usedfor discretization. By use of the augmented Lagrangian framework, we can alsoobtain symmetric tangent stiffness matrices in discontinuous Galerkin methods.We suggest two different approaches and give examples from plasticity and fromlarge deformation hyperelasticity.

Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems