Numerical quadrature on bounded surfaces without parameterizations
Document Type
Article
Publication Date
3-26-2026
Abstract
The evaluation of definite integrals on surfaces is challenging, even when an explicit or implicit parameterization of the surface is known. This is complicated further when a bounding surface is introduced. Still, methods exist for handling this difficult problem in the presence of a known surface. This work expands upon the method developed by Reeger and Fornberg in 2017 for approximating definite integrals over bounded surfaces with smooth boundaries by allowing accurate and efficient computation of quadrature weights, even when the surface is given only as a set of computational nodes and a triangulation of the node set.
Source Publication
Journal of Computational Physics (ISSN 0021-9991)
Recommended Citation
Reeger, J. A. (2026). Numerical quadrature on bounded surfaces without parameterizations. Journal of Computational Physics, 558, 114872. https://doi.org/10.1016/j.jcp.2026.114872
Comments
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