6533b824fe1ef96bd12808be

RESEARCH PRODUCT

Upper Bound for the Approximation Error for the Kirchhoff-Love Arch Problem

Olli Mali

subject

Class (set theory)Approximation errorA priori and a posterioriApplied mathematicsDerivation methodArchSpace (mathematics)Upper and lower boundsEnergy (signal processing)Mathematics

description

In this paper, a guaranteed and computable upper bound of approximation errors for the Kirchhoff-Love arch problem is derived. In general, it belongs to the class of functional a posteriori error estimates. The derivation method uses purely functional arguments and, therefore, the estimates are valid for any conforming approximation within the energy space. The computational implementation of the upper bound is discussed and demonstrated by a numerical example.

yearjournalcountryeditionlanguage
2013-01-01
https://doi.org/10.1007/978-94-007-5288-7_9