ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991):65N15, 65N30, 65N50, 65N55
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. A residual based error estimator for the approximation of linear elliptic boundary value problems by nonconforming finite element methods is introduced and analyzed. In particular, we consider mortar finite element techniques restricting ourselves to geometrically conforming domain decomposition methods using P1 approximations in each subdomain. Additionally, a residual based error estimator for Crouzeix-Raviart elements of lowest order is presented and compared with the error estimator obtained in the more general mortar situation. It is shown that the computational effort of the error estimator can be considerably reduced if the special structure of the Lagrange multiplier is taken into account.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050467
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