A hybrid numerical framework for long-time elastodynamic analysis

This study proposes a hybrid numerical framework for solving two- and three-dimensional elastodynamic problems. The framework employs the Krylov deferred correction technique for temporal discretization, which effectively enables accurate long-term simulations. To efficiently address the resulting boundary value problems, we develop a modified localized radial basis function (LRBF) collocation method, in which a novel radial basis function is constructed to significantly reduce the sensitivity of computational accuracy to the choice of shape parameters. Through systematic validation with four representative numerical examples, the proposed method demonstrates superior computational efficiency and robustness. In comparison with conventional approaches, the hybrid framework exhibits certain advantages in some aspects.