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- W2109867234 abstract "A ubiquitous linear boundary-value problem in mathematical physics involves solving a partial differential equation exterior to a thin obstacle. One typical example is the scattering of scalar waves by a curved crack or rigid strip (Neumann boundary condition) in two dimensions. This problem can be reduced to an integrodifferential equation, which is often regularized. We adopt a more direct approach, and prove that the problem can be reduced to a hypersingular boundary integral equation. (Similar reductions will obtain in more complicated situations.) Computational schemes for solving this equation are described, with special emphasis on smoothness requirements. Extensions to three-dimensional problems involving an arbitrary smooth bounded crack in an elastic solid are discussed." @default.
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- W2109867234 date "1989-02-08" @default.
- W2109867234 modified "2023-10-16" @default.
- W2109867234 title "On boundary integral equations for crack problems" @default.
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- W2109867234 doi "https://doi.org/10.1098/rspa.1989.0014" @default.
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