Comparison of some methods for solving systems of linear equations on computational complexes with hybrid architecture on an example of the oil displacement problem

The solution of systems of linear equations is an essential element in the numerical simulation of thermohydrodynamic processes of fluid displacement in reservoirs. Such systems arise, for example, in the discretization of the piezo or heat conductivity equations. The paper deals with the effective use of graphics accelerators to solve systems of the corresponding linear equations. A comparison of the proposed approachperfomance with the existing one, where the system of linear equations is solved by iterative methods BiCGStab or GMRES with the preconditioner ILU0 is done.