Electronic Resource
New York, NY [u.a.]
:
Wiley-Blackwell
Numerical Methods for Partial Differential Equations
2 (1986), S. 13-29
ISSN:
0749-159X
Keywords:
Mathematics and Statistics
;
Numerical Methods
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
Notes:
Penalty methods have been proposed as a viable method for enforcing interelement continuity constraints on nonconforming elements. Particularly for fourth-order problems in which C1-continuity leads to elements of high degree or complex composite elements, the use of penalty methods to enforce the C1-continuity constraint appears promising. In this study we demonstrate equivalence of the finite-element penalty method to a hybrid method and provide a stability analysis which implies that the penalty method is stable only if reduced integration of a certain order is used. Numerical experiments confirm that the penalty method fails if this condition is not met.
Additional Material:
3 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/num.1690020103
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