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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

To construct finite-volume methods for PDEs in arbitrary dimension to arbitrary accuracy in the presence of irregular boundaries, we show that estimates of moments, integrals of monomials, over various regions are all that are needed. If implicit functions are used to represent the irregular boundary, the needed moments can be computed straightforwardly and robustly by using the divergence theorem, Taylor expansions, least squares, recursion, and 1D root finding. Neither a geometric representation of the irregular boundary nor its interior is ever needed or computed. The implicit function representation is general and robust. Implicit functions can be combined via constructive solid geometry to form complex boundaries from a rich set of primitives including interpolants of sampled data, for example, 2D/3D image data and digital elevation maps.

Embedded boundary grid generation using the divergence theorem, implicit functions, and constructive solid geometry