A new family of mixed finite elements in \({\mathbb{R}}^ 3\) (Q579890)
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scientific article; zbMATH DE number 4016116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new family of mixed finite elements in \({\mathbb{R}}^ 3\) |
scientific article; zbMATH DE number 4016116 |
Statements
A new family of mixed finite elements in \({\mathbb{R}}^ 3\) (English)
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1986
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The objective of this paper is to present two families of mixed finite elements in three dimensions. Both families are conforming, the first one in H(div) and the second in H(curl), and both are split in three, corresponding to the case of tetrahedrons, cubes and prisms. The author describes these elements, proves the unisolvance and estimates the interpolation error. Finally these elements are used to approximate the Stokes' system.
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space H(div), space H(curl)
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conforming finite elements family
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mixed finite elements
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Stokes' system
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