Nonlinear porodynamic analysis by adaptive semi-explicit/explicit time marching formulations     

Soares  Delfim  Godinho  Luis 《Acta Geotechnica》2021,16(6):1879-1894

Acta Geotechnica - In this paper, we propose two adaptive semi-explicit/explicit numerical approaches to analyse nonlinear porodynamic models. In this context, simple, stabilised, non-iterative,...  相似文献   

Iterative analysis of pore‐dynamic models discretized by finite elements     

Delfim Soares Jr. 《国际地质力学数值与分析法杂志》2014,38(4):391-405

This work proposes an iterative procedure to analyze dynamic linear/nonlinear fully saturated porous media considering time‐domain finite element discretization. In this iterative approach, each phase of the coupled problem is treated separately, uncoupling the governing equations of the model. Thus, simpler, smaller, and better conditioned systems of equations are obtained, rendering more attractive techniques. A relaxation parameter is introduced in order to improve the efficiency and robustness of the iterative solution, and an expression to compute optimal values for the relaxation parameter is discussed. At the end of the paper, numerical examples are presented, illustrating the effectiveness and potentialities of the proposed methodology. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献