9.3.2 High order elements

The node ordering of a higher order (possibly curved) element is compatible with the numbering of low order element (it is a generalization). We number nodes in the following order:

• – the element principal or corner vertices;
• – the internal nodes for each edge;
• – the internal nodes for each face;
• – the volume internal nodes.

The numbering for internal nodes is recursive, ie. the numbering follows that of the nodes of an embedded edge/face/volume of lower order. The higher order nodes are assumed to be equispaced. Edges and faces are numbered following the lowest order template that generates a single high-order on this edge/face. Furthermore, an edge is oriented from the vertex with the lowest to the highest index. The orientation of a face is such that the computed normal points outward; the starting point is the vertex with the lowest index.

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