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| A speedy solution of the nodal equilibrium equations in the finite-element problems |
| Received:July 06, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20094012 |
| KeyWord:coefficients matrix maximum difference of the node number in a element nodal equilibrium equations symmetric half band-width |
| Author | Institution |
| 潘树来 |
华侨大学土木工程学院,泉州 |
| 王全凤 |
华侨大学土木工程学院,泉州 |
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| Abstract: |
| With the constant development of finite element method, it is widely used in almost every field of engineering, and has become a powerful technique in solving complex civil engineering. With the increment of complexness and scale in finite element method, the number of unknowns is as large as 104~106, it brings the difficulties in solving stiffness equation by the traditional half-bandwidth storage scheme, one-dimensional various-bandwidth method, or frontal method. The main difficulties exist in the matrix storage and solving CPU time. Although the calculation speed, the volume of EMS memory and external storage of computer increase constantly, the improvement of computer performance doesn’t always keep pace with the increasing requirement of large-scale calculation for more and more complex problem in practical engineering, especially for the nonlinear problem. The algorithm with high efficiency and using less EMS memory is a key technique in finite element method analysis and also an objective of computational mechanics. In this paper an approach is put forward for the finite element problem with regular discretization of elements, in which only the nonzero elements in the global stiffness matrix through the adjacent nodal relations are recorded, unlike in the half-bandwidth storage scheme, a lot of zero elements in the bandwidth of the stiffness matrix are also recorded, so that the large quantity work of storing the coefficients of the matrix can substantially be reduced and the speed of reading computer data information can be increased, giving better improvement on the efficiency of solution by the iteration method. |
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