  Using the strong disorder renormalization group method we study numerically
the critical behavior of the random transverse Ising model at a free surface,
at a corner and at an edge in D=2, 3 and 4-dimensional lattices. The surface
magnetization exponents are found to be: x_s=1.60(2), 2.65(15) and 3.7(1) in
D=2, 3 and 4, respectively, which do not depend on the form of disorder. We
have also studied critical magnetization profiles in slab, pyramid and wedge
geometries with fixed-free boundary conditions and analyzed their scaling
behavior.
