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pro vyhledávání: '"B. J. Grieshaber"'
Standard low-order finite elements, which perform well for problems involving compressible elastic materials, are known to under-perform when nearly incompressible materials are involved, commonly exhibiting the locking phenomenon. Interior penalty (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38ddbffdd2369658de2029ec1858b631
https://eprints.gla.ac.uk/218809/7/218809.pdf
https://eprints.gla.ac.uk/218809/7/218809.pdf
Publikováno v:
International Journal for Numerical Methods in Engineering. 117:693-712
This work studies discontinuous Galerkin (DG) approximations of the boundary value problem for homogeneous transversely isotropic linear elastic bodies. Low-order approximations on triangles are adopted, with the use of three interior penalty DG meth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a1ca0447ce3f31be147d0e556e9b9c3
http://arxiv.org/abs/1810.13267
http://arxiv.org/abs/1810.13267
Publikováno v:
SIAM Journal on Numerical Analysis. 53:2255-2278
Interior penalty methods for linear elasticity, when used with bilinear elements, are effective in the context of compressible materials. However, they may produce poor approximations with these elements in the nearly incompressible regime. We propos