Shape functions associated with super-convergent mass matrix

DOI10.1080/17415977.2011.589003zbMath1348.74310OpenAlexW2037811266MaRDI QIDQ2891246

No author found.

Publication date: 13 June 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2011.589003

zbMATH Keywords

inverse methodfinite element modelingbeam elementtrigonometric shape functions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

• On an unconventional but natural formation of a stiffness matrix
• Superaccurate finite element eigenvalue computation
• Finite elements with increased freedom in choosing shape functions
• Mass matrices by minimization of modal errors
• Minimization of the discretization error in mass and stiffness formulations by an inverse method
• Use of trigonometric terms in the finite element method with application to vibrating membranes
• A class of mixed assumed strain methods and the method of incompatible modes

This page was built for publication: Shape functions associated with super-convergent mass matrix