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A posteriori error control for the finite cell method
Citation Link: https://doi.org/10.15480/882.14618
Publikationstyp
Journal Article
Date Issued
2019-10-08
Sprache
English
TORE-DOI
TORE-URI
Volume
19
Issue
1
Article Number
e201900419
Citation
Proceedings in Applied Mathematics and Mechanics 19 (1): e201900419 (2019)
Contribution to Conference
Publisher
Wiley
The paper presents some concepts of the finite cell method and discusses a posteriori error control for this approach. The focus is on the application of the dual weighted residual approach (DWR), which enables the control of the error with respect to a user-defined quantity of interest. Since both the discretization error and the quadrature error are estimated, the application of the DWR approach provides an adaptive strategy which equilibrates the error contributions resulting from discretization and quadrature. The strategy consists in refining either the finite cell mesh or its associated quadrature mesh. Numerical experiments confirm the performance of the error control and the adaptive scheme for a non-linear problem in 2D.
DDC Class
600: Technology
Publication version
publishedVersion
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Name
Proc Appl Math and Mech - 2019 - Di Stolfo - A posteriori error control for the finite cell method.pdf
Type
Main Article
Size
3.09 MB
Format
Adobe PDF