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surfpy is a Python package for computing surface integrals over smooth embedded manifolds.

Zavalani, G.; Hecht, M.

Abstract

Surfpy is a Python package for computing surface integrals over smooth embedded manifolds using spectral differentiation. Surfpy rests on curved surface triangulations realised due to kth-order interpolation of the closest point projection, extending initial linear surface approximations. It achieves this by employing a novel technique called square-squeezing, which involves transforming the interpolation tasks of triangulated manifolds to the standard hypercube using a cube-to-simplex transformation that has been recently introduced.

Keywords: high-order integration; spectral differentiation; numerical quadrature; quadrilateral mesh

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Permalink: https://www.hzdr.de/publications/Publ-39257


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