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Mathematics of Computation

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Numerical evaluation of surface integrals in three dimensions


Author: David Chien
Journal: Math. Comp. 64 (1995), 727-743
MSC: Primary 65D30
MathSciNet review: 1270615
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Abstract: In this paper, we consider the evaluation of surface integrals over piecewise smooth surfaces in three dimensions. The method consists in first replacing a parametrization for the surface and the integrand function by piecewise polynomial interpolants of them, and second, using a numerical integration scheme for the resulting integral. The order of convergence is higher than would be expected based on the underlying interpolation theory.


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DOI: https://doi.org/10.1090/S0025-5718-1995-1270615-6
Article copyright: © Copyright 1995 American Mathematical Society