We present a numerical method (implemented in Matlab) for computing an orthogonal polynomial basis on spherical triangles, via a recent near-algebraic quadrature formula, and constructing the corresponding weighted orthogonal projection (hyperinterpolation) of a function sampled at the quadrature nodes.
Numerical hyperinterpolation over spherical triangles
Sommariva A.;Vianello M.
2021
Abstract
We present a numerical method (implemented in Matlab) for computing an orthogonal polynomial basis on spherical triangles, via a recent near-algebraic quadrature formula, and constructing the corresponding weighted orthogonal projection (hyperinterpolation) of a function sampled at the quadrature nodes.
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