在MIMD型机上求解板的临界载荷的一种并行算法

Abstract

Abstract: A parallel algorithm is presented which is based on the substructure technique of the finite element method for detennining the critical loads of thin elastic plates.The single path subdivision approach is used for the numbering of the nodes ofthe finite element mesh;therefore the doubly bordered band form of the stiffness matrices can be obtained.By using a congruence transfonnation,an equivalent mathematical model of the generalized eigenvalue problem is es- tablished to fit the parallel processing for calculating the critical loads of the plate stability prob- lem. The criterion for the evaluation of the speed-up of the parallel computation is given. Nu- merical analyses have been perfonned to illustrate the efficiency and the advantages of the parallel proeessing on Multi-Transputer System.

Key words: parallel processing (computers), eigenvalues, congruences, matrix methods

CLC Number:

Lu Quanyi;Ye Tianqi. A PARALLEL ALGORITHM ON THE MIMD FOR THE CALCULATION OF BUCKLING LOADS OF THE PLATE[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 1994, 15(8): 975-979.

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A PARALLEL ALGORITHM ON THE MIMD FOR THE CALCULATION OF BUCKLING LOADS OF THE PLATE

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