An implicit-explicit residual error estimator for the coupling
of dual-mixed finite elements and boundary elements in elastostatics
Gabriel N. Gatica, Norbert Heuer, Ernst P. Stephan
Math. Methods Appl. Sci. 24 (3), 179-191, 2001.
We consider the coupling of dual-mixed finite elements and boundary
elements to solve a mixed Dirichlet-Neumann problem of plane
elasticity. We derive an a-posteriori error estimate that is based
on the solution of local Dirichlet problems and on a residual term
defined on the coupling interface. The general error estimate does
not make use of any special finite element or boundary element spaces.
Here the residual term is given in a negative order Sobolev norm.
In practical applications, where a certain boundary element subspace is
used, this norm can be estimated by weighted local $L^2$-norms.