IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
A discrete inf-sup condition for a nonconforming finite element approximation of the Stokes equations in a domain with an external cusp
Autor/es:
RICARDO G. DURÁN Y EDUARDO M. GARAU
Lugar:
Bahía Blanca
Reunión:
Congreso; III Congreso de Matemática Aplicada, Computacional e Industrial; 2011
Institución organizadora:
ASAMACI y UNS
Resumen:
We consider the Stokes equations in a particular cuspidal domain in R^2. Durán and López García have proved the well-posedness of the problem in suitable weighted Sobolev spaces. In this article, we analyze thenonconforming finite element discretization for this problem given by Crouzeix and Raviart. We establish a mild condition on the meshes which guarantees the stability of the discrete problems.