Two-grid methods for finite volume element approximations of nonlinear parabolic equations
The authors prove an error estimate for a finite-volume method for a reaction-diffusion equation on convex polygonal domains in the plane. The reaction term is nonlinear. At each time step the discrete nonlinear equation is solved on a coarse grid, and the result is used as an initial approximation for a Newton iteration on a fine grid.
scientific article; zbMATH DE number 5559036