A finite element elasticity complex in three dimensions

A finite element elasticity complex on tetrahedral meshes and the corresponding commutative diagram are devised. The H 1 H^1 conforming is developed by Neilan for velocity field in a discrete Stokes complex. symmetric div-conforming Hu-Zhang stress tensors. construction of an left-parenthesis i n c right-parenthesis"> ( inc stretchy="false">) encoding="application/x-tex">H(\operatorname {inc}) -conforming minimum polynomial degree alttext="6"> 6 encoding="application/x-tex">6 tensors focus this paper. Our appears to be first elements without further splitting. key tools decomposition tensor spaces characterization trace alttext="i c"> encoding="application/x-tex">\operatorname {inc} operator. Koszul created derive decomposition. operator induced from Green’s identity. Trace complexes bubble also derived facilitate construction. Two-dimensional smooth Hessian alttext="d v d v"> div ⁡ {div}\operatorname {div} constructed.