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 present a general shape optimisation framework based on the method ofmappings in the $W^{1,\infty}$ topology. We propose steepest descent andNewton-like minimisation algorithms for the numerical solution of therespective shape optimisation problems. Our work is built upon previous work ofthe authors in (Deckelnick, Herbert, and Hinze, ESAIM: COCV 28 (2022)), where a$W^{1,\infty}$ framework for star-shaped domains is proposed. To illustrate ourapproach we present a selection of PDE constrained shape optimisation problemsand compare our findings to results from so far classical Hilbert space methodsand recent $p$-approximations.

PDE constrained shape optimisation with first-order and Newton-type methods in the $W^{1,\infty}$ topology