Convergence of the Iterative Group-Implicit Algorithm forParallel Transient Finite Element Analysis

摘要

The scope of the present research is on direct solution algorithms for the integrationof the equations of motion arising in structural dynamics problems. In this work, theconvergence characteristics of the Iterative Group-Implicit Algorithm (IGI) havebeen discussed. The convergence and applicability of the IGI algorithm areimproved through modifications in the computation of the sub-domain distributionfactor and in the mass-averaging rule. The resulting algorithm is called ModifiedIterative Group-Implicit Algorithm (MIGI). In this work, the MIGI algorithm isexplained in detail step-by-step. The two algorithms IGI and MIGI are compared interms of their convergence and limitations. An example thirty-storey framesubjected to an earthquake excitation is solved numerically to demonstrate theaccuracy and speed-up characteristics of the MIGI algorithm.