Abstract
Some high accuracy finite element methods for hyperbolic problems are studied in this paper. It is proven that over a finite element mesh, the convergence order of linear finite element solutions for both linear and nonlinear equations can be higher than one even if the exact solutions are discontinuous. The theoretical tools for the convergence analysis are some superclose error estimates that are also developed in this paper for nonsmooth solutions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have