Numerical solution of symmetric T-hyperbolic systems on an irregular grid

This article discusses the finite element method for symmetric t-hyperbolic systems. An implicit difference scheme of a mixed problem for symmetric t-hyperbolic systems was constructed. Created an algorithm for a numerical solution of a mixed problem for symmetric t-hyperbolic systems by finite elements on an irregular grid. Based on this algorithm, a program has been created for a numerical solution of a mixed problem for symmetric t-hyperbolic systems by the method of finite elements on an irregular grid. The numerical calculation of the model problem is given.