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 describe a temporal multiscale approach for the simulation of long-termprocesses with short-term influences involving partial differential equations.The specific problem under consideration is a growth process in blood vessels.The \emph{Candy Wrapper Process} describes a restenosis in a vessel that haspreviously be widened by inserting a stent. The development of a new stenosistakes place on a long time horizon (months) while the acting forces are mainlygiven by the pulsating blood flow. We describe a coupled pde model and a finiteelement simulation that is used as basis for our multiscale approach, which isbased on averaging the long scale equation and approximating the fast scaleimpact by localized periodic-in-time problems. Numerical test cases inprototypical 3d configurations demonstrate the power of the approach.

The candy wrapper problem -- a temporal multiscale approach for pde/pde systems