Nondegeneracy conditions for three-dimensional cells and a formula for the cell's volume (Q1395288)
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scientific article; zbMATH DE number 1940656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nondegeneracy conditions for three-dimensional cells and a formula for the cell's volume |
scientific article; zbMATH DE number 1940656 |
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Nondegeneracy conditions for three-dimensional cells and a formula for the cell's volume (English)
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1 July 2003
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The author formulates a nondegeneracy criterion for three-dimensional ruled cells in the form of a condition under which the Jacobian of the map generating those cells is positive. Such cells are most widely used in difference and finite element methods as applied to three-dimensional problems. Necessary and sufficient conditions for the Jacobian to be positive are established.
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grid generation
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nondegeneracy conditions
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positive Jacobian
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finite element methods
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three-dimensional problems
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difference methods
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