List of Tables

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Table 1: Finite element (fem) labels for within a single pixel labelled (i,j,k). The Δi, etc. values are with respect to the node labelled (i,j,k).
Table 2: Formulas for components of ∂N_r / ∂x_i matrix
Table 3: Neighbor labelling in 2-D and 3-D
Table 4: Relation between finite element labelling and neighbor labeling
Table 5: Values of Δ_r variable for system
Table 6: Components of L_pq
Table 7: Δ_rp vectors for the 8 pixel corners
Table 8: Size dependence (L x L system) of effective conductivity and field average for checkerboard, as determined by finite element method. Each individual "check" of the checkerboard is L/2 x L/2. The conductivity ratio
σ₂ / σ₁ = 10 .
Table 9: Effective bulk modulus for checkerboard--equal shear moduli case.
Table 10: Intrinsic conductivities for sphere, comparing the finite element and finite difference techniques.
Table 11: Intrinsic elastic moduli for sphere, d=15 in 40³ system
Table 12: Intrinsic elastic moduli for circle--effect of digital resolution, using finite element method
Table 13: Memory requirements in terms of bytes per pixel for programs discussed in this manual.

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