In order to overcome difficulties in the description of the two-electr
on continuum problem, we develop a finite element method to treat two-
electron escape professes. Two-electron photoejection cross sections a
re obtained for helium and H- at photon energies in the range of 79-46
0 and 14.4-110 eV. The H- double detachment calculations are apparentl
y the first nonperturbative quantum results in this energy range since
the pioneering work of Broad and Reinhardt in 1976. Our branching rat
io between single and double detachment of H- peaks at a value 25%-40%
higher than the results from that early study.