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
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/}
}
TY - JOUR AU - Brenner, Susanne C. AU - Gudi, Thirupathi AU - Sung, Li-Yeng TI - A weakly over-penalized symmetric interior penalty method for the biharmonic problem JO - Electronic transactions on numerical analysis PY - 2010 SP - 214 EP - 238 VL - 37 UR - http://geodesic.mathdoc.fr/item/ETNA_2010__37__a12/ LA - en ID - ETNA_2010__37__a12 ER -
%0 Journal Article %A Brenner, Susanne C. %A Gudi, Thirupathi %A Sung, Li-Yeng %T A weakly over-penalized symmetric interior penalty method for the biharmonic problem %J Electronic transactions on numerical analysis %D 2010 %P 214-238 %V 37 %U http://geodesic.mathdoc.fr/item/ETNA_2010__37__a12/ %G en %F ETNA_2010__37__a12
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/