Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems. I: Global approximation. II: Time finite element approximation (Q1271596)
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scientific article; zbMATH DE number 1221086
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems. I: Global approximation. II: Time finite element approximation |
scientific article; zbMATH DE number 1221086 |
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Parametrized formulations of Hamilton's law for numerical solutions of dynamic problems. I: Global approximation. II: Time finite element approximation (English)
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10 November 1998
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The essential features of the Hamilton's law and its variations are re-examined from the numerical perspectives. A general version of variation is proposed, and the parametrized formulations are presented. The parametrized formulations unify conventional formulations and also yield many new ones. Illustrative numerical examples (which include two-field mixed formulations and lower-order interpolation functions) demonstrate that the conventional formulations may not be optimal although they may be rational.
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constraint formulations
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two-field mixed formulations
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lower-order interpolation functions
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