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Guozhu Yu
Two-level method for anisotropic diffusion equations on non-aligned grids

316 McAllister Building
Pennsylvania State University
State College
PA
16802
yuguozhumail@yahoo.com.cn
Jinchao Xu
Ludmil Zikatanov

we consider the linear systems arising from the standard conforming linear finite element discretization of the second order elliptic equations with anisotropic diffusion. Our analysis applies to both cases: (a) grids aligned with the anisotropy; and (b) grids non-aligned with the anisotropy. Applying the standard two-level method to the finite element equations, we show the error propagation operator corresponding to the two-level iteration with block smoother, with suitably chosen blocks, is a uniform contraction in the energy norm. We also provide numerical experiments which validate and confirm the theoretical results.





Copper Mountain Conference 2011-03-04