  The distribution of the current density and the profile of the trapped
magnetic field of a superconducting disk magnetized by uniform field are
calculated from first principles. The effect of the superconducting parameters
is taken into account by assuming the voltage-current law and the material law.
The sample volume, the critical current density and the flux creep exponent
dominate the strength of the trapped magnetic field. The flux creep exponent
determines the decay rate of the trapped magnetic field. The aspect ratio of
the sample influences the shape of the trapped magnetic flux lines. We conclude
that higher trapped magnetic field cannot always be obtained by increasing the
applied magnetic field.
