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Finite Hyperelements - a 4D Geometrical Framework Using Covariant Bases and Metric Tensors
Date de parution
1995
In
Communications in Numerical Methods in Engineering
Vol.
6
No
11
De la page
525
A la page
534
Résumé
A method is presented to evaluate space-time finite element matrices in a general 4D context. Unlike the classical Jacobian-based 'textbook' approach, the method described herein uses curvilinear gradient operators to properly handle finite elements having fewer local dimensions (i.e. two or three) than the global embedding domain. This unconventional, but powerful, method is described in details and is illustrated by an application simulating 4D pure convection in a curved diverging-converging flow field.
Identifiants
Type de publication
journal article
