This survey paper by D. Göddeke and R. Strzodka compares native double precision solvers for linear systems of equations as they typically arise in finite element discretizations with emulated- and mixed-precision schemes. Such schemes are particularly suitable for coupled hardware configurations such as GPUs and FPGAs, which serve as co-processors to the general purpose CPU. The results demonstrate that

1. accuracy is preserved even for very ill-conditioned systems,
2. significant speedups can be achieved (time aspect, GPUs) and
3. area requirements are reduced (space aspect, FPGA).

(link/preprint)