On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems
Three results are reported. 1) Error estimates for the interval \(0\leq t<\infty\) for difference approximations to the Cauchy problem for a linear hyperbolic dissipative in some sense system are given. 2) Error estimates for difference approximations to a linear hyperbolic conservative system with a local dissipation property are given. 3) The convergence of the Galerkin method approximation to the solution of a semilinear hyperbolic dissipative system for some type of initial boundary value problems is proved.
scientific article; zbMATH DE number 3926172
scientific article