Krylov subspace methods for structural finite element analysis
Nonlinear problems from structural finite element analysis usually are tackled with Newton-like methods. In every step a linear system of equations has to be solved. For these problems iterative Krylov subspace methods with several preconditioning strategies and an extended Lanczos method for nonlinear computations with arc length methods are presented. For a parallel implementation domain decomposition methods are used. Each processor works on a local grid and computes a partial stiffness matrix. The preconditioned parallel iterative methods only work with these partial stiffness matrices. The range of applications and the speedups for the treated methods is shown by examples from structural analysis (without mathematical proofs).
iterative krylov subspace methods preconditioning strategies domain decomposition finite element method nonlinear structural analysis