A mesh adaptation approach based on Hessian matrix is proposed to solve two-dimensional heat conductione equations with coupled electron,iron and photon temperatures.Three kinds of adaptive mesh and two adaptation methods based on gradient and flux of the photon finite element solution are used. It is shown that the energy conservation error and computation efficiency of the approach are improved.

In this paper, an axisymmetric Stokes flow induced by the rotation of an arbitrary axisymmric boby in an infinite long tube is studied. An infinite series of Sampson rotlets is taken as the fundamental singularities. For the strength of the continuous distribntion ofsing-ularities along the axis of symmetry both a discrete distribution and a piecewise parabolic distrobution are used. The above analgtical treatment greatly reduce the amount of numerical computation of the stokes flow, while giving very accurate numerical results. Analysis of the numerical results indicates that the parabolic distribution method has advantage over the discrete one in every aspect. Besides, the creeping motion of finite clusters of rotating spheres in the tube is also treated eggiciently and the torque coefficients of each sphere are given.