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https://doi.org/10.21256/zhaw-22706| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | A posteriori estimates for a coupled piezoelectric model |
| Authors: | Langer, Ulrich Repin, Sergey Samrowski, Tatiana |
| et. al: | No |
| DOI: | 10.1515/rnam-2017-0025 10.21256/zhaw-22706 |
| Published in: | Russian Journal of Numerical Analysis and Mathematical Modelling |
| Volume(Issue): | 32 |
| Issue: | 4 |
| Page(s): | 259 |
| Pages to: | 266 |
| Issue Date: | 2017 |
| Publisher / Ed. Institution: | De Gruyter |
| ISSN: | 0927-6467 1569-3988 |
| Language: | English |
| Subjects: | Coupled systems of partial differential equations; Piezoelectricity problem; A posteriori error estimate |
| Subject (DDC): | 510: Mathematics |
| Abstract: | The paper is related to a coupled problem describing piezoelectric effects in an elastic body. For this problem, we deduce majorants of the distance between the exact solution and any approximation in the respective energy class of functions satisfying the boundary conditions. The majorants are fully computable and do not contain mesh dependent constants. They vanish if and only if an approximate solution coincides with the exact one and provide guaranteed upper bounds of errors in terms of the natural energy norm associated with the coupled problem studied. |
| Further description: | Erworben im Rahmen der Schweizer Nationallizenzen (http://www.nationallizenzen.ch) |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/22706 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Applied Mathematics and Physics (IAMP) |
| Appears in collections: | Publikationen School of Engineering |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 2017_Langer-etal_Estimates-coupled-piezoelectric-model.pdf | 210.28 kB | Adobe PDF |  View/Open |
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Langer, U., Repin, S., & Samrowski, T. (2017). A posteriori estimates for a coupled piezoelectric model. Russian Journal of Numerical Analysis and Mathematical Modelling, 32(4), 259–266. https://doi.org/10.1515/rnam-2017-0025
Langer, U., Repin, S. and Samrowski, T. (2017) ‘A posteriori estimates for a coupled piezoelectric model’, Russian Journal of Numerical Analysis and Mathematical Modelling, 32(4), pp. 259–266. Available at: https://doi.org/10.1515/rnam-2017-0025.
U. Langer, S. Repin, and T. Samrowski, “A posteriori estimates for a coupled piezoelectric model,” Russian Journal of Numerical Analysis and Mathematical Modelling, vol. 32, no. 4, pp. 259–266, 2017, doi: 10.1515/rnam-2017-0025.
LANGER, Ulrich, Sergey REPIN und Tatiana SAMROWSKI, 2017. A posteriori estimates for a coupled piezoelectric model. Russian Journal of Numerical Analysis and Mathematical Modelling. 2017. Bd. 32, Nr. 4, S. 259–266. DOI 10.1515/rnam-2017-0025
Langer, Ulrich, Sergey Repin, and Tatiana Samrowski. 2017. “A Posteriori Estimates for a Coupled Piezoelectric Model.” Russian Journal of Numerical Analysis and Mathematical Modelling 32 (4): 259–66. https://doi.org/10.1515/rnam-2017-0025.
Langer, Ulrich, et al. “A Posteriori Estimates for a Coupled Piezoelectric Model.” Russian Journal of Numerical Analysis and Mathematical Modelling, vol. 32, no. 4, 2017, pp. 259–66, https://doi.org/10.1515/rnam-2017-0025.
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