Modern Building Materials, Structures and Techniques
نویسندگان
چکیده
The family of iterative methods for static and natural vibration analysis, based on preconditioned conjugate gradient (PCG) method with aggregation multilevel preconditioning, is considered. Both: the element-by-element procedure for assembling of stiffness matrix and sparse direct solver for it factoring and fast forward − backward substitutions ensure the high stability of methods against ill-conditioning. The generalized preconditioned conjugate gradient method with shifts in aggregation multilevel preconditioning is developed to overcome the lock of convergence, which is met when conventional PCG methods are applied for eigenvalue analysis.
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