Numerical methods for solving problems with a free boundary

In the monograph, close methods of solving nonlinear regional problems with an unknown (free) border are considered. A classic example of tasks of this type is the problem of Stefan in theory of thermal conductivity. Examples of tasks with a free border in thermophysics, hydrodynamics, elastic theory, plasma physics are given. The main computational methods for solving stationary problems for the elliptical equations of the second and fourth order are considered: methods of consistent clarification of the unknown border, transformation of the regions, methods of fine. Separately highlighted the class of reverse tasks with a free border. Examples of the numerical solution of applied tasks illustrating the possibilities of developed methods are given.
For experts in computing mathematics and mathematical modeling, graduate students and students of senior kU