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

Miura surfaces are the solutions of a constrained nonlinear elliptic systemof equations. This system is derived by homogenization from the Miura fold,which is a type of origami fold with multiple applications in engineering. Aprevious inquiry, gave suboptimal conditions for existence of solutions andproposed an $H^2$-conformal finite element method to approximate them. In thispaper, the existence of Miura surfaces is studied using a mixed formulation. Itis also proved that the constraints propagate from the boundary to the interiorof the domain for well-chosen boundary conditions. Then, a numerical methodbased on a least-squares formulation, Taylor--Hood finite elements and a Newtonmethod is introduced to approximate Miura surfaces. The numerical method isproved to converge and numerical tests are performed to demonstrate itsrobustness.

Mixed formulation for the computation of Miura surfaces with gradient Dirichlet boundary conditions