A generalized direct inverse mass matrix for the method of finite spheres in transient explicit wave propagation analysis

초록

The direct inverse mass matrix (DI) approach can substantially reduce computational costs by eliminating the need to invert the global mass matrix in explicit time integration schemes. However, in the method of finite spheres (MFS), where multiple degrees of freedom are associated with a single node, an appropriate mass modification is required for the successful application of the DI. In this study, we propose a generalized formulation for such mass modification and determine its optimal parameters using a metaheuristic optimization algorithm. The accuracy and computational efficiency of the proposed approach are examined through benchmark problems, demonstrating its effectiveness and performance advantages.

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