Aspects of non-nested and non-structured multigrid methods with applications to two-dimensional elastic problems were presented in a companion paper by the current authors, Non-Nested and Non-Structured Multigrid Methods Applied to Elastic Problems, Part I: The Two-Dimensional Case. In this paper a review of some multigrid strategies, procedures for geometric search to implement transfer operators, expressions for calculating the number of operations and memory space, and aspects of convergence are presented. Three-dimensional elastic problems are solved by multigrid, sparse Gaussian elimination, and conjugate gradient methods. The number of operations and memory requirements are compared.