Fourier embedded domain methods: Periodic and \(C^{\infty}\) extension of a function defined on an irregular region to a rectangle via convolution with Gaussian kernels

DOI10.1016/j.amc.2006.06.029zbMath1105.65354OpenAlexW2090022687MaRDI QIDQ865517

Alfonso Bueno-Orovio

Publication date: 19 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.029

zbMATH Keywords

convergencefictitious domain methodsFourier spectral methodconvolution with Gaussian kernelsdomain embedding methodsirregular region

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25)

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Cites Work

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• A spectral embedding method applied to the advection-diffusion equation
• Spectral Methods for Partial Differential Equations in Irregular Domains: The Spectral Smoothed Boundary Method
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