A wavelet-based approach for solving integral equations in seismic wave scattering problems: Compression of large kernel data matrices

Wavelets can be an effective tool for compressing integral operator matrices arising from large-scale simulation of wave scattering problems. We propose an approach based on the Haar wavelets to compress the matrices in the standard collocation-type boundary element method for seismic wave problems. We describe the formulation and show some numerical examples. In the examples we confirm this approach can attain higher compressibility within small accuracy loss for larger problems.