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Numerical Stability Control in Magnetic Gradient Calculations of a Discretized Cylinder
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 6th EAGE Saint Petersburg International Conference and Exhibition, Apr 2014, Volume 2014, p.1 - 5
Abstract
Summary
An elongated cylinder, modelled as a polyhedron with polygonal ends and elongated rectangular side facets, leads to a growing numerical instability in the computed magnetic gradient anomaly as the curved surface is discretized more faithfully with increasing numbers of such facets. We exhibit this effect in model calculations, and demonstrate that our stabilized algorithm can mitigate the growth in numerical error. This study suggests that increasingly refined polyhedral target approximations come with a penalty: either the calculations are subject to increased destructive numerical noise, or there is increased computational burden from the use of stabilized numerical methods
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