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What expansion order p to use?
The expansion order is a function of a free parameter.
The automation of optimal expansion order is obtained based on the minimization of total stress uncertainty.
In particular, a hierarchical expansion order of the kinematic displacements is adopted.
Besides, its sensitivity to the propagation distance and Taylor expansion order is thoroughly investigated.
The convergence of the solution with respect to the resolution level and expansion order is investigated.
The expansion order of each subdomain is therefore an input parameter of the analysis.
However, for the same expansion order the new method is more accurate.
Each point in the left panels represents a single cell → cell interaction with expansion order p as indicated.
The quadrupole level of approximation refers to the second-order expansion, which is the lowest non-trivial expansion order.
Here, p is the expansion order and δ Ψ A → B the error of the approximated potential.
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