Ordering geometric elements of tetrahedron on three dimensioanl mesh

Abstract

Two dimensioanl triangle element has less than three dimensioanl tetrahedron elements. Numbering global node and local node of tetrahedron is difficult due to an orientation of tetrahedron. To fast assemble finite element stiffness and mass matrix, it is usefull to transform local element to reference matrix. This paper will provide conventional criterion and show the numerical result of finite element on proposed mesh.