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Implicit residual type error estimators

Author
Huerta, A.; Diez, P.
Type of activity
Book chapter
Book
Verifying Calculations: forty years on
First page
19
Last page
32
Publisher
Springer
Date of publication
2016
ISBN
978-3-319-20552-6 Open in new window
Repository
http://hdl.handle.net/2117/78561 Open in new window
http://hdl.handle.net/2117/80905 Open in new window
Abstract
The error associated with a numerical solution is intimately related with the residual, that is the lack of verification of the equation by the approximated solution. The residual is computable but obtaining the exact error from the residual is as difficult as computing the exact solution. Residual type estimators provide error assessment tools based on post processing the residual. This post process is either explicit (integrating the residual) or implicit (solving local problems with the resid...
Citation
Huerta, A., Diez, P. Implicit residual type error estimators. A: "Verifying Calculations: forty years on". Springer, 2016, p. 19-32.
Keywords
Implicit error estimates · Hybrid-flux equilibration · Flux-free techniques · Goal-oriented estimates · Adjoint problem · Error representation
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants