Reduced symmetry elements in linear elasticity
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Bibliographic record
Abstract
In continuum mechanics problems, we have to work in most cases with symmetric tensors,symmetry expressing the conservation of angular momentum. Discretization of symmetrictensors is however difficult and a classical solution is to employ some form of reduced symmetry.We present two ways of introducing elements with reduced symmetry.The first one is based on Stokes problems, and in the two-dimensional case allows torecover practically all interesting elements on the market. This however is(definitely) not true in three dimensions. On the other hand the second approach (based on a verynice property of several interpolation operators) works for three-dimensional problems as well,and allows, in particular, to prove the convergence of theArnold-Falk-Winther element with simple and standard arguments, without the use of theBerstein-Gelfand-Gelfand resolution.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.003 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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