On the necessary and sufficient conditions for stability of various finite elements (Q1318865)
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scientific article; zbMATH DE number 541474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the necessary and sufficient conditions for stability of various finite elements |
scientific article; zbMATH DE number 541474 |
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On the necessary and sufficient conditions for stability of various finite elements (English)
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27 March 1994
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Basing on simple rank observations, the author proposes two conditions for the stable behaviour of the finite element method though there is no definition of what is meant by stability. So it remains open, how the two conditions can produce the connection to the exact solution, the essential part in all stability investigations. The conclusion of the author to replace the Ladyshenskaya-Babuška-Brezzi condition remains unproven.
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rank zero energy mode
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Ladyshenskaya-Babuška-Brezzi condition
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