We devise hybrid high-order (HHO) methods for the acoustic wave equation in time domain. first consider second-order formulation time. Using Newmark scheme temporal discretization, we show that resulting HHO-Newmark is energy-conservative, and this also amenable to static condensation at each step. then of as a first-order system together with singly-diagonally implicit explicit Runge-Kutta (SD...

A general approach to the dimensional reduction of non-linear nite element models of solid dynamics is presented. For the Newmark implicit time-discretization, the computationally most expensive phase is the repeated solution of the system of linear equations for displacement increments. To deal with this, it is shown how the problem can be formulated in an approximation (Ritz) basis of much sm...

Strong earthquakes induce a large number of secondary disasters, such as landslides, which bring serious challenges to post-disaster emergency rescue, and the rapid accurate assessment earthquake-induced landslide disasters is crucial for post-earthquake rescue. This research aims propose an model that suitable specifically targeting first 72 h after earthquake rescue guidance. The combines rem...

Zhang and Shimizu (1998) proposed a numerical algorithm based on Newmark method to calculate the dynamic response of mechanical systems involving fractional derivatives. On basis Runge-Kutta-Nyström method, present study proposes two new algorithms, namely, improved using second order derivative solve differential equations vibration systems. The accuracy algorithms is investigated in detail by...