The Chandra X-ray Observatory, with its sub-arc second resolution, has revolutionized X-ray astronomy by revealing an
extremely complex X-ray sky and demonstrating the power of the X-ray window in exploring fundamental astrophysical
problems. Larger area telescopes of still higher angular resolution promise further advances. We are engaged in the
development of a mission concept, Generation-X, a 0.1 arc second resolution x-ray telescope with tens of square meters
of collecting area, 500 times that of Chandra. To achieve these two requirements of imaging and area, we are
developing a grazing incidence telescope comprised of many mirror segments. Each segment is an adjustable mirror that
is a section of a paraboloid or hyperboloid, aligned and figure corrected in situ on-orbit.
To that end, finite element analyses of thin glass mirrors are performed to determine influence functions for each
actuator on the mirrors, in order to develop algorithms for correction of mirror deformations. The effects of several
mirror mounting schemes are also studied. The finite element analysis results, combined with measurements made on
prototype mirrors, will be used to further refine the correction algorithms.