Block subspace projection PCG method for solution of natural vibration problem in structural analysis

The block subspace projection preconditioned conjugate gradient method for analysis of natural vibration frequencies and modes applying to large problems of structural mechanics is proposed. It is oriented at the usage in finite element analysis software operated on multi-core desktop computers with restricted amount of core memory as an alternative approach to widespread block Lanczos method and subspace iteration method. We focused our attention on achievement of high computational stability and parallelization of proposed algorithm. The solution of real-life large problems confirms the reliability of proposed approach.