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 Pro

Presents the zaia usage as premium feature

ZAIA

Presents AI Discovery search usage as a premium feature

AI Discovery

Presents AI Discovery explain and summary usage as a premium feature

Content Analysis

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Presents the pdf analysis as premium feature

PDF Analysis

1500 Top-up

3000 Top-up

Zendy Basic

2500 Top-up

Zendy Unlimited

Presents the access of premium content as premium feature

Premium Content

This work explores the application of the fast assembly and formationstrategy from [8, 17] to trimmed bi-variate parameter spaces. Two concepts forthe treatment of basis functions cut by the trimming curve are investigated:one employs a hybrid Gauss-point-based approach, and the other computesdiscontinuous weighted quadrature rules. The concepts' accuracy and efficiencyare examined for the formation of mass matrices and their application toL2-projection. Significant speed-ups compared to standard element by elementfinite element formation are observed. There is no clear preference between theconcepts proposed. While the discontinuous weighted scheme scales favorablywith the degree of the basis, it also requires additional effort for computingthe quadrature weights. The hybrid Gauss approach does not have this overhead,which is determined by the complexity of the trimming curve. Hence, it iswell-suited for moderate degrees, whereas discontinuous-weightedquadrature haspotential for high degrees, in particular, if the related weights are computedin parallel.

Fast formation and assembly of isogeometric Galerkin matrices for trimmed patches