A weakly over-penalized symmetric interior penalty method for the biharmonic problem
Electronic transactions on numerical analysis, Tome 37 (2010), pp. 214-238
We study a weakly over-penalized symmetric interior penalty method for the biharmonic problem that is intrinsically parallel. Both a priori error analysis and a posteriori error analysis are carried out. The performance of the method is illustrated by numerical experiments.
Classification : 65N30, 65N15
Keywords: biharmonic problem, finite element, interior penalty method, weak over-penalization, morley element, fourth order
@article{ETNA_2010__37__a12,
     author = {Brenner,  Susanne C. and Gudi,  Thirupathi and Sung,  Li-Yeng},
     title = {A weakly over-penalized symmetric interior penalty method for the biharmonic problem},
     journal = {Electronic transactions on numerical analysis},
     pages = {214--238},
     year = {2010},
     volume = {37},
     zbl = {1205.65311},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__37__a12/}
}
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Brenner,  Susanne C.; Gudi,  Thirupathi; Sung,  Li-Yeng. A weakly over-penalized symmetric interior penalty method for the biharmonic problem. Electronic transactions on numerical analysis, Tome 37 (2010), pp. 214-238. http://geodesic.mathdoc.fr/item/ETNA_2010__37__a12/