TY - GEN
T1 - Penalized approximation of the vibration frequencies of a fluid in a cavity
AU - Boffi, Daniele
AU - Chinosi, Claudia
AU - Gastaldi, Lucia
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2000/1/1
Y1 - 2000/1/1
N2 - Here we point out some difficulties arising in the approximation of the vibration frequencies of a fluid in a cavity in the case of non convex polygonal domains. Since the eigensolutions must satisfy an irrotationality condition, a classical way to face the problem is to consider a penalized formulation. Unfortunately standard conforming finite elements fail to give good results. We intend to justify this failure and to suggest a finite element method based on a reduced integration strategy able to give reasonable results.
AB - Here we point out some difficulties arising in the approximation of the vibration frequencies of a fluid in a cavity in the case of non convex polygonal domains. Since the eigensolutions must satisfy an irrotationality condition, a classical way to face the problem is to consider a penalized formulation. Unfortunately standard conforming finite elements fail to give good results. We intend to justify this failure and to suggest a finite element method based on a reduced integration strategy able to give reasonable results.
UR - http://link.springer.com/10.1007/s007910050047
UR - http://www.scopus.com/inward/record.url?scp=34548240852&partnerID=8YFLogxK
U2 - 10.1007/s007910050047
DO - 10.1007/s007910050047
M3 - Conference contribution
SP - 19
EP - 23
BT - Computing and Visualization in Science
PB - Springer [email protected]
ER -