Numerical studies of the heat conduction equation with highly anisotropic tensor conductivity
For short time scale calculations our studies have shown the diagonal schemes to be much more accurate than the cross derivative scheme. If the angle ϕ between the (x, y) axes and the (ξ, η) axes varies little over the region, they are also very practical. This covers many cases of interest: but if ϕ varies greatly, probably only scheme II will be useful.
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