Abstract
In this paper, large scale analyses of shell structures by using the CGCG iterative solver are conducted. For more efficient analyses of large scale problems, the demands have been increasing for the efficient iterative solvers and the domain decomposition methods with preconditioners have been developed. In the analyses of thin shells, however, the situation is not so transparent due to the well-known ill conditioned stiffness matrix. Bearing this in mind, the CGCG solver, the conjugate gradient method with coarse grid solver which was already proven to be fast, accurate and robust for 3D solid structures, is adapted for thin shell structures and the performance is compared with those using the other preconditioning techniques based on the domain decomposition methods. As numerical results, the CGCG solver shows better performance from the viewpoints of the convergence rates, the memory usage and the total computing time than the other iterative solvers based on the domain decomposition methods.
