An analogue of Schwarz method for solving Zaremba problem and its application in underground fluid mechanics (Q1569327)
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scientific article; zbMATH DE number 1467863
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analogue of Schwarz method for solving Zaremba problem and its application in underground fluid mechanics |
scientific article; zbMATH DE number 1467863 |
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An analogue of Schwarz method for solving Zaremba problem and its application in underground fluid mechanics (English)
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2 July 2000
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The authors construct the Green function for a mixed boundary value problem for a conservative second-order elliptic equation. It is shown that the Green function constructed for a spherical layer can be obtained as the limiting case of the Green function for a problem posed in a ball. As an example, Green functions are constructed for the classical problem of a homogeneous incompressible underground fluid flowing to a horizontal well.
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Green function
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Schwarz method
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conservative second-order elliptic equation
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spherical layer
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homogeneous incompressible underground flow
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horizontal well
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