A local a posteriori error estimator based on equilibrated fluxes

International audienceWe present and analyze a new a posteriori error estimator for lowest order conforming finite elements. It is based on Raviart--Thomas finite elements and can be obtained locally by a postprocessing technique involving for each vertex a local subproblem associated with a dual mesh. Under certain regularity assumptions on the right-hand side, we obtain an error estimator where the constant in the upper bound for the true error tends to one. Replacing the conforming finite element solution by a postprocessed one, the error estimator is asymptotically exact. The local equivalence between our estimator and the standard residual-based error estimator is established. Numerical results illustrate the performance of the error estimator

A domain decomposition method on nested domains and nonmatching grids

SIGLEAvailable from TIB Hannover: RR 6943(2003,22) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman

Duality estimates and multigrid analysis for saddle point problems arising from mortar discretizations

SIGLEAvailable from TIB Hannover: RR 6943(2002,2) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman