| Popis: |
Multigrid methods are proving themselves as (very) successful tools for the solution of the algebraic equations associated with discretization of Elliptic Boundary-Value problems. Nevertheless, it seems we are just beginning to 'understand' this powerful idea. Hence, there is a need for continued probing, experimentation and new proofs - less for the sake of proof and more for the sake of insight. This report considers the extension to a general diffusion equation. In particular, for the two-grid scheme we reobtain the basic results indicate that other coefficients results carry over as well. Additional keywords: Algorithms; Linear algebraic equations; Problem solving; Estimates; Experimental data. |
