×

On computable bounds of modeling errors. (English) Zbl 1308.74129

Cangiani, Andrea (ed.) et al., Numerical mathematics and advanced applications 2011. Proceedings of ENUMATH 2011, the 9th European conference on numerical mathematics and advanced applications, Leicester, UK, September 5–9, 2011. Berlin: Springer (ISBN 978-3-642-33133-6/hbk; 978-3-642-33134-3/ebook). 53-61 (2013).
Summary: We give an overview of results related to computable and guaranteed bounds of modeling errors derived with the help of a posteriori estimates of the functional type and discuss estimates of errors arising in dimension reduction, defeaturing (simplification) of highly structured models, and homogenization.
For the entire collection see [Zbl 1257.65002].

MSC:

74Q20 Bounds on effective properties in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI