The optimization of approximate-factorization schemes for solving elliptic partial differential equations in three dimensions, featuring a new two-factor scheme (Q1108749)
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scientific article; zbMATH DE number 4068204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The optimization of approximate-factorization schemes for solving elliptic partial differential equations in three dimensions, featuring a new two-factor scheme |
scientific article; zbMATH DE number 4068204 |
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The optimization of approximate-factorization schemes for solving elliptic partial differential equations in three dimensions, featuring a new two-factor scheme (English)
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1988
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Approximate-factorization (AF) schemes have been used for numerical solutions of elliptic partial differential equations, mainly in two dimensions. A new two-factor scheme is proposed for 3D problems. This new method may be optimized and gives rapid convergence for all problems so far investigated. Examples are given (solution of the three-dimensional Laplace equation on a stretched computational mesh; the quasi- conservative small disturbance potential equation for transonic flow), and computation times compared for various AF schemes.
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approximate-factorization schemes
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convergence
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three-dimensional Laplace equation
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potential equation
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transonic flow
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