Journal of Applied Mathematics / 2012 / Article / Tab 7

Research Article

Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model

Table 7

Adaptive versus uniform refinement.

Uniform refinement
𝑆 𝑛 π‘œ # elem 𝒯 𝑛 π‘œ β„Ž 1 # elem 𝒯 𝑛 π‘œ β„Ž 1 d i m ( 𝑉 𝑛 π‘œ β„Ž 1 ) d i m ( 𝑉 𝑛 π‘œ β„Ž 2 )


Initial mesh 0 . 8 1 8 0 3 200 200 121121
1st refinement 0 . 3 9 2 2 1 800 800 441441

Adaptive refinement
𝑆 𝑛 π‘œ # elem 𝒯 𝑛 π‘œ β„Ž 1 # elem 𝒯 𝑛 π‘œ β„Ž 2 d i m ( 𝑉 𝑛 π‘œ β„Ž 1 ) d i m ( 𝑉 𝑛 π‘œ β„Ž 1 )

Initial mesh 0 . 8 1 8 0 200 200 121121
1st level 0 . 8 0 3 1 240 200 141121
2nd level 0 . 7 0 7 6 292200 167121
3rd level 0 . 6 4 9 9 316200 179121
4th level 0 . 5 5 2 5 462200 254121
5th level 0 . 4 2 0 5 720200385121
6th level 0 . 3 5 8 3 820200 435121