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- W2078563724 abstract "We investigate the behavior of integral formulations of variable coefficient elliptic partial differential equations in the presence of steep internal layers. In one dimension, the equations that arise can be solved analytically and the condition numbers estimated in various $L^p$ norms. We show that high-order accurate Nyström discretization leads to well-conditioned finite-dimensional linear systems if and only if the discretization is both norm-preserving in a correctly chosen $L^p$ space and adaptively refined in the internal layer." @default.
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- W2078563724 date "2014-01-01" @default.
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- W2078563724 title "Norm-Preserving Discretization of Integral Equations for Elliptic PDEs with Internal Layers I: The One-Dimensional Case" @default.
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- W2078563724 doi "https://doi.org/10.1137/130922951" @default.
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