Moderate degree cubature formulas for 3‐D tetrahedral finite‐element approximations

Abstract

Abstract Some new moderate degree cubature formulas for tetrahedra are derived. The suitability of various types of rules for the finite‐element technique is discussed exhaustively. Consequently, the newly developed formulas supplemented by lower degree known ones are tabulated for the purpose of direct application in finite‐element programming. All the formulas are presented in a virtually machine‐independent form.