Compatibility of traces on the edges and corners of a polyhedron

Christine Bernardi, Monique Dauge and Yvon Maday

Trace operators of any order can be defined on the edges of a polygon or faces of a polyhedron. However compatibility conditions must be enforced on the corners of the polygon, on the edges and corners of the polyhedron, in order that these traces admits a lifting which has optimal regularity. The aim of this note is to identify these conditions.

Note C. R. Acad. Sc. Paris Série I, 331, 2000, 679--684.

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