ADAPTIVE DIFFERENCE GRID GENERATOR AND INITIAL APPROXIMATION PROBLEM FOR TIIE GRID CONSTRUCTION IN COMPLEX DOMAIN
R.N. Antonova, G.P. Prokopov, O.I. Sofronova VANT. Ser.: Mat. Mod. Fiz. Proc 1996. Вып.12. С. 8490.
The adaptive grid generating algorithm for solving unstable problems of mathematical physics is suggested. Each step of this algorithm begins from the calculation of the shift of the interior nodes of the grid by means of interpolation formulas using the values of the shift of boundary nodes. The addition of the shifts to the coordinates of nodes of the grid on the previous timestep gives the initial grid for the next timestep. From the latter grid the iteration process minimizing some variational functional starts. As an illustration two examples of conversion from the simple domain to the domain having form for which interpolation formulas give unacceptable grid are considered.
