Feasibility of standard and novel solvers in atmospheric tomography for the ELT

The new generation of ground-based extremely large telescopes require highly efficient algorithms to achieve an excellent image quality in a large eld of view. These systems rely on adaptive optics, where one aims to compensate in real-time the rapidly changing optical distortions in the atmosphere. Due to the growth of telescope sizes, the computational load is increasing drastically. Thus, current algorithms become inappropriate and there is a big interest in the development of more efficient solvers. In this work, we compare a novel method called Finite Element Wavelet Hybrid Algorithm to the frequently used MVM within the framework of MAORY, an instrument of the Extremely Large Telescope. We look in detail at the performance of both algorithms in terms of floating point operations, memory usage and parallelization possibilities. On that basis, we determine a possible real-time computing hardware architecture for both algorithms.