Numerical stochastic homogenization by quasi-local effective diffusion tensors
Numerical stochastic homogenization by quasi-local effective diffusion tensors
![Open Access](/xmlui/themes/Fakultaeten//images/32px-Open_Access_logo_PLoS_white.svg.png)
dc.contributor.author | Gallistl, Dietmar | |
dc.contributor.author | Peterseim, Daniel | |
dc.date.accessioned | 2024-08-13T15:09:31Z | |
dc.date.available | 2024-08-13T15:09:31Z | |
dc.date.issued | 02.2017 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/11840 | |
dc.description.abstract | This paper proposes a numerical upscaling procedure for elliptic boundary value problems with diffusion tensors that vary randomly on small scales. The resulting effective deterministic model is given through a quasilocal discrete integral operator, which can be further compressed to an effective partial differential operator. Error estimates consisting of a priori and a posteriori terms are provided that allow one to quantify the impact of uncertainty in the diffusion coefficient on the expected effective response of the process. | en |
dc.format.extent | 18 | |
dc.language.iso | eng | |
dc.relation.ispartofseries | INS Preprints ; 1701 | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | numerical homogenization | |
dc.subject | multiscale method | |
dc.subject | upscaling | |
dc.subject | a priori error estimates | |
dc.subject | a posteriori error estimates | |
dc.subject | uncertainty | |
dc.subject | modeling error estimate | |
dc.subject | model reduction | |
dc.subject.ddc | 510 Mathematik | |
dc.subject.ddc | 518 Numerische Analysis | |
dc.title | Numerical stochastic homogenization by quasi-local effective diffusion tensors | |
dc.type | Preprint | |
dc.publisher.name | Institut für Numerische Simulation (INS) | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.relation.doi | https://doi.org/10.4310/CMS.2019.v17.n3.a3 | |
ulbbn.pubtype | Zweitveröffentlichung | |
dcterms.bibliographicCitation.url | https://ins.uni-bonn.de/publication/preprints |
Files in this item
This item appears in the following Collection(s)
-
INS Preprints (79)