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Finite element methods (FEM), and its associated computer software have been widely accepted as one of the most effective general tools for solving largescale, practical engineering and science applications. For implicit finite element codes, it is a wellknown fact that efficient equation and eigensolvers play critical roles in solving largescale, practical engineering/science problems. Sparse matrix technologies have been evolved and become mature enough that all popular, commercialized FEM codes have already inserted sparse solvers into their software. However, a few FEM books have detailed discussions about Lanczos eigensolvers, or explain domain decomposition (DD) finite element formulation (including detailed handcalculator numerical examples) for parallel computing purposes. The materials from this book have been evolved over the past several years through the author's research work, and graduate courses.
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