×

A nonconforming finite element method for hyperbolic equations with moving grid. (Chinese. English summary) Zbl 1199.65341

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
PDFBibTeX XMLCite