A compendium of FEM integration formulas for symbolic work

DOI10.1108/02644400410554362zbMath1134.74404OpenAlexW1985967120MaRDI QIDQ3379291

Carlos A. Felippa

Publication date: 6 April 2006

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644400410554362

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Finite element methods applied to problems in solid mechanics (74S05) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

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Uses Software

• Mathematica

Cites Work

• A triangular membrane element with rotational degrees of freedom
• A triangular bending element based on an energy-orthogonal free formulation
• An encyclopaedia of cubature formulas.
• A study of optimal membrane triangles with drilling freedoms.
• Monomial cubature rules since ``Stroud: A compilation. II
• Numerical Integration Over Simplexes
• Numerical Evaluation of Multiple Integrals II
• Engineering applications of numerical integration in stiffness methods.
• Quadrature rules for brick based finite elements