A PRECISE INTEGRATION METHOD FOR THE QUASI ANALYTICAL SOLUTION OF HEAT CONDUCTION

The precise integration method for the finite element solution of heat conduction problems is studied in this paper. The monotonous property of the method is discussed. From accuracy analysis, it is obvious that the solution obtained by the new method is analytical for the equations derived by the space discretization of the original governing equations. So the solution obtained by the new method could be called quasi analytical solution, and the new method is very useful for the numerical solution of some...