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Orthogonal base functions and consistent diagonal mass matrices for two-dimensional elements

✍ Scribed by Howard L. Schreyer; Joseph J. Fedock

Publisher: John Wiley and Sons
Year: 1979
Tongue: English
Weight: 843 KB
Volume: 14
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620140910

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📜 SIMILAR VOLUMES

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✍ Howard L. Schreyer 📂 Article 📅 1978 🏛 John Wiley and Sons 🌐 English ⚖ 703 KB

## Abstract The conventional dynamic variational approach and finite element base functions lead to non‐diagonal consistent mass matrics which are inappropriate for use with an explicit time integration scheme. In this work, it is shown that if orthogonal base function are used with a mixed variati

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Diagonal mass matrices offer computational advantages in many applications. Their general use is confronted, however, with the fact that usual finite-element formulations generate consistent mass matrices. Some methods have been suggested to diagonalize these consistent matrices. These methods are l