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 higher order space-time unfitted finite element method forconvection-diffusion problems on coupled (surface and bulk) domains. In thatway, we combine a method suggested by Heimann, Lehrenfeld, Preu{\ss} (SIAM J.Sci. Comput. 45(2), 2023, B139 - B165) for the bulk case with a methodsuggested by Sass, Reusken (Comput. Math. Appl. 146(15), 2023, 253-270) for thesurface case. The geometry is allowed to change with time, and the higher orderdiscrete approximation of this geometry is ensured by a time-dependentisoparametric mapping. The space-time discretisation approach allows forstraightforward handling of arbitrary high orders. In that way, we alsogeneralise results of Hansbo, Larson, Zahedi (Comput. Methods Appl. Mech.Engrg. 307, 2016, 96-116) to higher orders. The convergence of the proposedhigher order discretisations is confirmed numerically.

A Higher Order Unfitted Space-Time Finite Element Method for Coupled Surface-Bulk problems