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Irregular finite element meshes in elastodynamics

✍ Scribed by Isaac Fried


Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
128 KB
Volume
15
Category
Article
ISSN
0029-5981

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✦ Synopsis


Abstract

Grading rules for consistent and lumped elements are opposite. Optimal mass matrices on finite difference considerations are very sensitive to mesh grading. Sensitivity of the solution accuracy to the mesh ratio increases with element order.


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## Abstract Quadrilateral finite elements are generally constructed by starting from a given finite dimensional space of polynomials __VΜ‚__ on the unit reference square __KΜ‚__. The elements of __VΜ‚__ are then transformed by using the bilinear isomorphisms __F__~__K__~ which map __KΜ‚__ to each conve