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math.AP2009★ 1 cited
On the characterization of asymptotic cases of the diffusion equation with rough coefficients and applications to preconditioning
Burak Aksoylu, Horst R. Beyer
We consider the diffusion equation in the setting of operator theory. In particular, we study the characterization of the limit of the diffusion operator for diffusivities approach…
math.AP2008
Results on the diffusion equation with rough coefficients
Burak Aksoylu, Horst R. Beyer
We study the behaviour of the solutions of the stationary diffusion equation as a function of a possibly rough (-) diffusivity. This includes the boundary behaviour of…