Boundary absorbing computations in wave simulation with the finite element method

The simulation of wave propagation has important applications in many problems such as in computational seismology. Here, we focus on boundary absorbing computations in wave simulation with the finite element method on triangular mesh. The first-order and second-order absorbing boundary conditions based on wave decomposition are presented. Moreover, the absorbing conditions for corners are proposed. The weak formulations combined with absorbing conditions are derived. Numerical computations for a complex model show that boundary reflections are eliminated and the computational efficiency is high by using the mass-lumping technique.