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Serendipity Virtual Elements

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

After a brief reminder of classical (“plain vanilla”) Virtual Elements  we will see the general philosophy 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 code exploiting the full advantage of  having many edges might become difficult in the presence of non convex polygons, and in particular for complicated shapes. We shall also discuss different choices ensuring various advantages for different amounts of work. 




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

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