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 construct mollification operators in strongly Lipschitz domains that donot invoke non-trivial extensions, are $L^p$ stable for any real number$p\in[1,\infty]$, and commute with the differential operators $\nabla$,$\nabla{\times}$, and $\nabla{\cdot}$. We also construct mollificationoperators satisfying boundary conditions and use them to characterize thekernel of traces related to the tangential and normal trace of vector fields.We use the mollification operators to build projection operators onto general$H^1$-, $\mathbf{H}(\text{curl})$- and $\mathbf{H}(\text{div})$-conformingfinite element spaces, with and without homogeneous boundary conditions. Theseoperators commute with the differential operators $\nabla$, $\nabla{\times}$,and $\nabla{\cdot}$, are $L^p$-stable, and have optimal approximationproperties on smooth functions.

Mollification in strongly Lipschitz domains with application to continuous and discrete De Rham complex