Implementation of the Discontinuous Galerkin Method on a Multi-Story Seismically Excited Building Model

In this paper, we implement the Discontinuous Galerkin (DG) method, proposed and well-analyzed for linear and nonlinear problems by Adjerid et.al, to study the response of a multi-story building seismically excited. In fact, we adopt the DG method to solve a system of second order ordinary differential equations. The unknowns are the time response of the inter-story displacement of each level of the building. Simulation results show the effectiveness and robustness of the DG method. A comparison of the results obtained through the DG method and through traditional numerical schemes is conducted. The results reveal the efficacy of the DG method, which lends it as an attractive alternative instead of currently used numerical techniques.