Finite element mass matrix lumping by numerical integration with no convergence rate loss

Finite element mass matrix lumping by numerical integration with no convergence rate loss

Using numerical integration in the formation of the finite element mass matrix and placing the movable nodes at integration points causes it to become lumped or diagonal (block diagonal) with the optimal rate of energy convergence retained.

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Bibliographische Detailangaben
Veröffentlicht in:International journal of solids and structures 1975-04, Vol.11 (4), p.461-466
Hauptverfasser: Fried, Isaac, Malkus, David S.
Format: Artikel
Sprache:eng
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Beschreibung
Zusammenfassung:Using numerical integration in the formation of the finite element mass matrix and placing the movable nodes at integration points causes it to become lumped or diagonal (block diagonal) with the optimal rate of energy convergence retained.
ISSN:0020-7683
1879-2146
DOI:10.1016/0020-7683(75)90081-5