Wavelets on nonuniform triangular meshes for fast basis transform

Fast method of moment (MoM) solvers implement advanced algorithms like the fast multipole method (FMM) or wavelet transform (WLT). Applying wavelet transform yields a sparsely populated matrix and enables fast iterative solvers. However, the effort of performing the transform itself may significantly add to the overall computational complexity. Traditional methods like multiplying with a change of basis matrix are very inefficient concerning time and memory demands. In this paper, new wavelet functions are considered enabling a fast wavelet transform that uses in-place operations and has low computational complexity.