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/

Zendy Plus

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

Zendy Tools

Zendy Open

We propose and analyze an unfitted finite element method for solving ellipticproblems on domains with curved boundaries and interfaces. The approximationspace on the whole domain is obtained by the direct extension of the finiteelement space defined on interior elements, in the sense that there is nodegree of freedom locating in boundary/interface elements. The boundary/jumpconditions are imposed in a weak sense in the scheme. The method is shown to bestable without any mesh adjustment or any special stabilization. Optimalconvergence rates under the $L^2$ norm and the energy norm are derived.Numerical results in both two and three dimensions are presented to illustratethe accuracy and the robustness of the method.

An unfitted finite element method by direct extension for elliptic problems on domains with curved boundaries and interfaces