A VARIABLE LOCAL RELAXATION TECHNIQUE IN NONLINEAR PROBLEMS

Application of under and over-relaxation is a very useful technique in solution of non-linear problems. However, the choice of the relaxatio n factor is problem dependent and difficult to estimate. In this work we propose a new method in which the relaxation factor is chosen autom atically by the computer code, based on the dynamics of the convergenc e process. In addition, the local application of relaxation factors is introduced, so that different unknowns have different relaxation fact ors. Two examples are presented to demonstrate the proposed method's e fficiency.