A Feed-back Approach to Error Control in Finite Element Methods: Basic Analysis and Examples

@inproceedings{Becker1996AFA,
  title={A Feed-back Approach to Error Control in Finite Element Methods: Basic Analysis and Examples},
  author={Roland Becker and Rolf Rannacher},
  year={1996}
}
A reened approach to residual-based error control in nite element (FE) discretiza-tions is presented. The conventional strategies for adaptive mesh reenement in FE methods are mostly based on a posteriori error estimates in the global energy or L 2-norm involving local residuals of the computed solution. The mesh reenement process then aims at equilibrating these local error indicators. Such estimates reeect the approximation properties of the nite element space by local interpolation constants… CONTINUE READING
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