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- W2952103658 abstract "We investigate the behavior of integral formulations of variable coefficient elliptic partial differential equations (PDEs) 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 Nystrom 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.
- W2952103658 created "2019-06-27" @default.
- W2952103658 creator A5066978688 @default.
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- W2952103658 date "2013-05-29" @default.
- W2952103658 modified "2023-09-27" @default.
- W2952103658 title "Norm-preserving discretization of integral equations for elliptic PDEs with internal layers I: the one-dimensional case" @default.
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