Shi, Dongyang; Guan, Hongbo A nonconforming finite element method for hyperbolic equations with moving grid. (Chinese. English summary) Zbl 1199.65341 Pure Appl. Math. 25, No. 1, 26-33 (2009). Summary: A Crouzeix-Raviart type nonconforming finite element method for hyperbolic equations with moving grid is proposed on anisotropic meshes. Optimal error estimates are obtained without the conventional Riesz projection. MSC: 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 35L20 Initial-boundary value problems for second-order hyperbolic equations 65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs Keywords:hyperbolic equations; anisotropic meshes; moving grid; optimal error estimates; Crouzeix-Raviart type nonconforming finite element method PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Guan}, Pure Appl. Math. 25, No. 1, 26--33 (2009; Zbl 1199.65341)