Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 |
| Untertitel | Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021 |
| Herausgeber/-innen | Jens M. Melenk, Joachim Schöberl, Ilaria Perugia, Christoph Schwab |
| Seiten | 509-520 |
| Seitenumfang | 12 |
| ISBN (elektronisch) | 978-3-031-20432-6 |
| Publikationsstatus | Veröffentlicht - 29 Nov. 2022 |
Publikationsreihe
| Name | Lecture Notes in Computational Science and Engineering |
|---|---|
| Band | 137 |
| ISSN (Print) | 1439-7358 |
| ISSN (elektronisch) | 2197-7100 |
Abstract
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Mathematik (insg.)
- Computational Mathematics
- Mathematik (insg.)
- Steuerung und Optimierung
- Mathematik (insg.)
- Diskrete Mathematik und Kombinatorik
- Mathematik (insg.)
- Modellierung und Simulation
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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1: Selected Papers from the ICOSAHOM Conference, Vienna, Austria, July 12-16, 2021. Hrsg. / Jens M. Melenk; Joachim Schöberl; Ilaria Perugia; Christoph Schwab. 2022. S. 509-520 (Lecture Notes in Computational Science and Engineering; Band 137).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung
}
TY - CHAP
T1 - Space-Time Error Control Using a Partition-of-Unity Dual-Weighted Residual Method Applied to Low Mach Number Combustion
AU - Thiele, Jan Philipp
AU - Wick, Thomas
N1 - Publisher Copyright: © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022/11/29
Y1 - 2022/11/29
N2 - In this work, a space-time scheme for goal-oriented a posteriori error estimation is proposed. The error estimator is evaluated using a partition-of-unity dual-weighted residual method. As application, a low mach number combustion equation is considered. In some numerical tests, different interpolation variants are investigated, while observing convergence orders and effectivity indices between true errors (obtained on a sufficiently refined mesh) and the error estimator.
AB - In this work, a space-time scheme for goal-oriented a posteriori error estimation is proposed. The error estimator is evaluated using a partition-of-unity dual-weighted residual method. As application, a low mach number combustion equation is considered. In some numerical tests, different interpolation variants are investigated, while observing convergence orders and effectivity indices between true errors (obtained on a sufficiently refined mesh) and the error estimator.
KW - math.NA
KW - cs.NA
KW - math.OC
KW - 35K58, 49M29, 65N30, 65N50, 90A25
UR - http://www.scopus.com/inward/record.url?scp=85169005588&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-20432-6_34
DO - 10.1007/978-3-031-20432-6_34
M3 - Contribution to book/anthology
SN - 978-3-031-20431-9
T3 - Lecture Notes in Computational Science and Engineering
SP - 509
EP - 520
BT - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1
A2 - Melenk, Jens M.
A2 - Schöberl, Joachim
A2 - Perugia, Ilaria
A2 - Schwab, Christoph
ER -