High-Order Numerical Integration over Discrete Surfaces

DOI10.1137/110857404zbMath1261.65028OpenAlexW2062728702MaRDI QIDQ4907151

Xiangmin Jiao, Navamita Ray, Duo Wang, James G. Glimm

Publication date: 4 March 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110857404

zbMATH Keywords

algorithmnumerical examplessurface integrationquadrature rulesleast squares approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Algorithms for approximation of functions (65D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (8)

A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces ⋮ Euler equation existence, non-uniqueness and mesh converged statistics ⋮ Measurement and calculation on conformable surfaces ⋮ High-order algorithms for Laplace-Beltrami operators and geometric invariants over curved surfaces ⋮ A note on the rate of convergence of integration schemes for closed surfaces ⋮ WLS-ENO remap: superconvergent and non-oscillatory weighted least squares data transfer on surfaces ⋮ ARPIST: provably accurate and stable numerical integration over spherical triangles ⋮ Integration over discrete closed surfaces using the method of fundamental solutions

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