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- W59635802 abstract "This chapter presents the application of the finite element method to various physical phenomena governed by Laplace's equation. For a fluid motion to be a potential flow, it should be both incompressible and irrotational. For steady two-dimensional, irrotational and incompressible flows, it can also be shown that Laplace's equation is satisfied by the stream function. The boundary conditions commonly occurring in potential problems are: Dirichlet or first, Neumann or second, Cauchy or third, and mixed. In Dirichlet or first type, the value of the potential is specified at all points on the boundary. In Neumann or second type, the normal derivative of potential is specified on the boundary. In Cauchy or third type, the potential and its normal derivative are specified in relation to each other. In mixed type, on each of two or more sections of the boundary a different condition is specified. In potential flow problems, the boundary conditions encountered are usually of the Dirichlet and Neumann type." @default.
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- W59635802 date "1973-01-01" @default.
- W59635802 modified "2023-10-16" @default.
- W59635802 title "LAPLACE AND ASSOCIATED BOUNDARY-VALUE PROBLEMS" @default.
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- W59635802 doi "https://doi.org/10.1016/b978-0-12-521650-0.50015-2" @default.
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