Publications

Multilevel methods for eigenspace computations in structural dynamics

Lehoucq, Richard B.; Hetmaniuk, Ulrich L.; Hetmaniuk, Ulrich L.

Modal analysis of three-dimensional structures frequently involves finite element discretizations with millions of unknowns and requires computing hundreds or thousands of eigenpairs. In this presentation we review methods based on domain decomposition for such eigenspace computations in structural dynamics. We distinguish approaches that solve the eigenproblem algebraically (with minimal connections to the underlying partial differential equation) from approaches that tightly couple the eigensolver with the partial differential equation.