Shape Measures for Quadrilaterals, Pyramids, Wedges, and Hexahedra
Barry Joe · 2008
Shape measures for triangles and tetrahedra are used to derive shape measures for plane and space quadrilaterals, pyramids, wedges, and hexahedra. Valid space quadrilaterals, pyramids, wedges, and hexahedra are defined. It is shown that three plane quadrilateral shape measures each attain a maximum value only for the square, valid space quadrilaterals satisfy a refinement property, and valid 3-D elements satisfy a Jacobian determinant property. 1