AN EXTENSION OF COMPLEX MODES FOR THE RESOLUTION OF FINITE-ELEMENT POROELASTIC PROBLEMS

A new modal synthesis technique inspired from complex modes is presented in this paper. The purpose of this method is to find an alternative to the weakness of usual modal techniques in order to improve resolution of finite-element poroelastic problems. Firstly, the construction of modes and the synthesis for a general forcing is explained. Secondly, the approach is applied to a one-dimensional poroelastic problem. Finally, the approach is numerically tested and its performance is investigated by comparison with solutions obtained with a direct resolution of the system.