Application of the MSSOR for solving systems of linear equations corresponding to problems with a changing configuration of the contact surface.

Various iterative algorithms for solving systems of linear algebraic equations corresponding to the problems of contact interaction of thermoelastic bodies with a changing configuration of the contact surface are considered. Implementations of the modified successive over-relaxation method (MSSOR), the modified over-relaxation method (MSOR), the modified Jacobi method (MJOR), as well as an algorithm based on the use of the Gaussian elimination with iterative refinement, which allows taking into account the exit from the contact of individual sections of the contact boundary, are presented. The results of applying the algorithms in a demonstration problem simulating thermomechanical processes in a section of a fuel element that includes from two to four pellets and a cladding fragment are presented. [ABSTRACT FROM AUTHOR]