A patchwise local Fourier extension method approximates smooth functions on general 2D domains with curved boundaries at O(N) online complexity and high accuracy using fixed local parameters and SVD stabilization.
Huybrechs, On the Fourier extension of nonperiodic functions, SIAM Journal on Numerical Analysis 47 (6) (2010) 4326–4355
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A Patchwise Local Fourier Extension Method for Function Approximation on General Two-Dimensional Domains
A patchwise local Fourier extension method approximates smooth functions on general 2D domains with curved boundaries at O(N) online complexity and high accuracy using fixed local parameters and SVD stabilization.