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计算数学 1991
DOUBLE SET PARAMETER METHOD OF CONSTRUCTING STIFFNESS MATRICES
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Abstract:
A new method of constructing stiffness matrices is presented. The method uses two setsof parameters, one of which consists of usual nodal parameters, like function values and theirderivatives at nodes of elements. The second set may be chosen some special type of linear func-tionals on the given finite element spece, such as integrals of functions and their derivativesalong edges of elements in order to meet certain convergence requirements. The method is very effective and easy to implement under the general framework offinite element analysis. Several unconventional plate elements, recently appeared in engineeringapplications, have been tested successfully using this new method and their convergence proper-ties are established in a unified mathematical way.