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Serendipity Virtual Elements

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GCS - Geometry, compatibility and structure preservation in computational differential equations

Aftera
brief reminder of classical (“plain vanilla”) Virtual Elements
we will see the generalphilosophy of “enhanced Virtual
Elements” and the various types of Serendipity spaces as particular cases.
The construction will always be conceptually simple (and extremely powerful, in
particular for polygons with many edges), but a codeexploitingthe
full advantage of havingmany edges might become difficult in the
presence of non convex polygons, and in particular for complicated shapes. We
shall also discuss differentchoices ensuring various advantages for
different amounts of work.

This talk is part of the Isaac Newton Institute Seminar Series series.

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