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By design, the first and third objectives are ensured by the VPG, where it is as precise as machine precision allows.
Equilibria accurate up to machine precision are obtained.
Accuracy of derivatives is achieved within machine precision.
In both cases, P values from a Fisher's exact test are below machine precision (<10−16).
Both methods conserve to machine precision, regardless of the presence of the non-conforming edges.
An enhanced pressure-correction method is proposed to speed up the achievement of machine precision accuracy.
Algorithmic efficiency is excellent, achieving convergence to almost machine precision very rapidly with well-chosen parameters.
Using vector spherical harmonics, this error is quantified and reduced to machine precision.
The method is conservative by construction and preserves the mass to the machine precision.
The air of machine precision casts doubt on what our eyes — or the eyes of referees — can process.
And the results show that the accuracy is sufficiently high, only limited by machine precision.
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