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High-order $L^2$-Galerkin schemes for the decoupled potential integral equations

Winterrose, David Scott
arXiv (All) · Papers
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numerical-analysis
We prove Sobolev space well-posedness of the decoupled potential integral equations. Using basic pseudo-differential techniques, discrete stability is obtained for the standard $L^2$-pairing, and we deduce spectral convergence for a high-order scheme employing discontinuous basis functions, or with
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