This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problems. These shape functions, which are derived from their corresponding radial basis functions, have some advantages such as the satisfaction of exponential and trigonometric function fields in comple...

it is well established that the seismic ground response of surface topographies may differ from those of free field motion during earthquakes. complex nature of seismic wave scattering by topographical structures can only be solved accurately and economically using advanced numerical methods under realistic conditions. among the numerical methods, the boundary element is a powerful numerical te...

Compared with continuous elements, discontinuous elements advance in processing the discontinuity of physical variables at corner points and discretized models complex boundaries. However, computational accuracy is sensitive to positions element nodes. To reduce side effect node position on results, this paper proposes employing partially compute time-domain boundary integral equation 3D elasto...