A combined scheme of finite elements and finite differences (Q1122963)
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scientific article; zbMATH DE number 4108097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A combined scheme of finite elements and finite differences |
scientific article; zbMATH DE number 4108097 |
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A combined scheme of finite elements and finite differences (English)
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1989
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Two-dimensional boundary value problems for the Laplace equation in a ring-like region are considered. The differential equation is written first in polar coordinates and then reformulated in terms of a dimensionless radial variable. An approximate solution is assumed as the sum of products of functions of the radial and the angular variables, for which a partial Galerkin technique with respect to the radial direction is applied, whereas a difference approximation is used in the angular direction. The simple method has some disadvantages that are mentioned.
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Galerkin method
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finite differences
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finite elements
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Laplace equation
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ring-like region
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