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| 001 | 641892 | ||
| 005 | 20251205222112.0 | ||
| 024 | 7 | _ | |a arXiv:2507.00723 |2 arXiv |
| 024 | 7 | _ | |a 10.3204/PUBDB-2025-05238 |2 datacite_doi |
| 037 | _ | _ | |a PUBDB-2025-05238 |
| 041 | _ | _ | |a English |
| 088 | _ | _ | |a arXiv:2507.00723 |2 arXiv |
| 100 | 1 | _ | |a Bause, Markus |0 P:(DE-HGF)0 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Multi-goal-oriented anisotropic error control and mesh adaptivity for time-dependent convection-dominated problems |
| 260 | _ | _ | |c 2025 |
| 336 | 7 | _ | |a Preprint |b preprint |m preprint |0 PUB:(DE-HGF)25 |s 1764946049_3006626 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a WORKING_PAPER |2 ORCID |
| 336 | 7 | _ | |a Electronic Article |0 28 |2 EndNote |
| 336 | 7 | _ | |a preprint |2 DRIVER |
| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
| 336 | 7 | _ | |a Output Types/Working Paper |2 DataCite |
| 500 | _ | _ | |a 14 pages, 5 Figures, 2 Tables. Submitted to PAMM. arXiv admin note: substantial text overlap with arXiv:2504.04951 |
| 520 | _ | _ | |a In this work, we present an anisotropic multi-goal error control based on the Dual Weighted Residual (DWR) method for time-dependent convection-diffusion-reaction (CDR) equations. This multi-goal oriented approach allows for an accurate and efficient error control with regard to several quantities of interest simultaneously. Using anisotropic interpolation and restriction operators, we obtain elementwise error indicators in space and time, where the spatial indicators are additionally separated with respect to the single directions. The directional error indicators quantify anisotropy of the solution with respect to the goals, and produce adaptive, anisotropic meshes that efficiently capture layers. To prevent spurious oscillations the streamline upwind Petrov-Galerkin (SUPG) method is applied to stabilize the underlying system in the case of high P\'{e}clet numbers. Numerical examples show efficiency and robustness of the proposed approach for several goal quantities using established benchmarks for convection-dominated transport. |
| 536 | _ | _ | |a 631 - Matter – Dynamics, Mechanisms and Control (POF4-631) |0 G:(DE-HGF)POF4-631 |c POF4-631 |f POF IV |x 0 |
| 536 | _ | _ | |a DFG project G:(GEPRIS)390833453 - EXC 2122: PhoenixD: Photonics, Optics, and Engineering – Innovation Across Disciplines (390833453) |0 G:(GEPRIS)390833453 |c 390833453 |x 1 |
| 588 | _ | _ | |a Dataset connected to arXivarXiv |
| 693 | _ | _ | |a SINBAD |e AXSIS: Frontiers in Attosecond X-ray Science, Imaging and Spectroscopy |1 EXP:(DE-H253)SINBAD-20200101 |0 EXP:(DE-H253)AXSIS-20200101 |5 EXP:(DE-H253)AXSIS-20200101 |x 0 |
| 700 | 1 | _ | |a Bruchhäuser, Marius Paul |0 P:(DE-HGF)0 |b 1 |
| 700 | 1 | _ | |a Endmayer, Bernhard |0 P:(DE-HGF)0 |b 2 |
| 700 | 1 | _ | |a Margenberg, Nils |0 P:(DE-H253)PIP1100991 |b 3 |
| 700 | 1 | _ | |a Toulopoulos, Ioannis |0 P:(DE-HGF)0 |b 4 |
| 700 | 1 | _ | |a Wick, Thomas |0 P:(DE-HGF)0 |b 5 |
| 856 | 4 | _ | |y OpenAccess |u https://bib-pubdb1.desy.de/record/641892/files/Bause%20-%20Multi-goal-oriented%20anisotropic%20error%20control.pdf |
| 856 | 4 | _ | |y OpenAccess |x pdfa |u https://bib-pubdb1.desy.de/record/641892/files/Bause%20-%20Multi-goal-oriented%20anisotropic%20error%20control.pdf?subformat=pdfa |
| 909 | C | O | |o oai:bib-pubdb1.desy.de:641892 |p openaire |p open_access |p VDB |p driver |p dnbdelivery |
| 910 | 1 | _ | |a External Institute |0 I:(DE-HGF)0 |k Extern |b 3 |6 P:(DE-H253)PIP1100991 |
| 913 | 1 | _ | |a DE-HGF |b Forschungsbereich Materie |l Von Materie zu Materialien und Leben |1 G:(DE-HGF)POF4-630 |0 G:(DE-HGF)POF4-631 |3 G:(DE-HGF)POF4 |2 G:(DE-HGF)POF4-600 |4 G:(DE-HGF)POF |v Matter – Dynamics, Mechanisms and Control |x 0 |
| 914 | 1 | _ | |y 2025 |
| 915 | _ | _ | |a OpenAccess |0 StatID:(DE-HGF)0510 |2 StatID |
| 915 | _ | _ | |a Creative Commons Attribution CC BY 4.0 |0 LIC:(DE-HGF)CCBY4 |2 HGFVOC |
| 920 | 1 | _ | |0 I:(DE-H253)FS-CFEL-2-20120731 |k FS-CFEL-2 |l Ultrafast Lasers & X-rays Division |x 0 |
| 980 | _ | _ | |a preprint |
| 980 | _ | _ | |a VDB |
| 980 | _ | _ | |a UNRESTRICTED |
| 980 | _ | _ | |a I:(DE-H253)FS-CFEL-2-20120731 |
| 980 | 1 | _ | |a FullTexts |
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