Simulating the scattering of low-frequency Gravitational Waves by compact objects using the finite element method

Understand

We investigate the wave effects of gravitational waves (GWs) using numerical simulations with the finite element method (FEM) based on the publicly available code {\it deal.ii}.

• We robustly test our code using a point source monochromatic spherical wave.
• We examine not only the waveform observed by a local observer but also the global energy conservation of the waves.
• We find that our numerical results agree very well with the analytical predictions.