Details
| Original language | English |
|---|---|
| Title of host publication | Numerical Mathematics and Advanced Applications, ENUMATH 2019 |
| Subtitle of host publication | European Conference |
| Editors | Fred J. Vermolen, Cornelis Vuik |
| Place of Publication | Cham |
| Publisher | Springer Science and Business Media Deutschland GmbH |
| Pages | 363-372 |
| Number of pages | 10 |
| ISBN (electronic) | 978-3-030-55874-1 |
| ISBN (print) | 9783030558734, 978-3-030-55876-5 |
| Publication status | Published - 22 Aug 2020 |
| Event | European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019 - Egmond aan Zee, Netherlands Duration: 30 Sept 2019 → 4 Oct 2019 |
Publication series
| Name | Lecture Notes in Computational Science and Engineering |
|---|---|
| Volume | 139 |
| ISSN (Print) | 1439-7358 |
| ISSN (electronic) | 2197-7100 |
Abstract
In this work, we further develop multigoal-oriented a posteriori error estimation for the nonlinear, stationary, incompressible Navier-Stokes equations. It is an extension of our previous work on two-side a posteriori error estimates for the DWR method. We now focus on h enrichment and p enrichment for the error estimator. These advancements are demonstrated with the help of a numerical example.
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Mathematics(all)
- Control and Optimization
- Mathematics(all)
- Computational Mathematics
Cite this
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Numerical Mathematics and Advanced Applications, ENUMATH 2019: European Conference. ed. / Fred J. Vermolen; Cornelis Vuik. Cham: Springer Science and Business Media Deutschland GmbH, 2020. p. 363-372 (Lecture Notes in Computational Science and Engineering; Vol. 139).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Hierarchical DWR Error Estimates for the Navier-Stokes Equations
T2 - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2019
AU - Endtmayer, B.
AU - Langer, U.
AU - Thiele, J. P.
AU - Wick, T.
N1 - Funding Information: Acknowledgments This work has been supported by the Austrian Science Fund (FWF) under the grant P 29181 ‘Goal-Oriented Error Control for Phase-Field Fracture Coupled to Multiphysics Problems’. Furthermore, we thank Daniel Jodlbauer for fruitful discussions.
PY - 2020/8/22
Y1 - 2020/8/22
N2 - In this work, we further develop multigoal-oriented a posteriori error estimation for the nonlinear, stationary, incompressible Navier-Stokes equations. It is an extension of our previous work on two-side a posteriori error estimates for the DWR method. We now focus on h enrichment and p enrichment for the error estimator. These advancements are demonstrated with the help of a numerical example.
AB - In this work, we further develop multigoal-oriented a posteriori error estimation for the nonlinear, stationary, incompressible Navier-Stokes equations. It is an extension of our previous work on two-side a posteriori error estimates for the DWR method. We now focus on h enrichment and p enrichment for the error estimator. These advancements are demonstrated with the help of a numerical example.
UR - http://www.scopus.com/inward/record.url?scp=85106440224&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-55874-1_35
DO - 10.1007/978-3-030-55874-1_35
M3 - Conference contribution
AN - SCOPUS:85106440224
SN - 9783030558734
SN - 978-3-030-55876-5
T3 - Lecture Notes in Computational Science and Engineering
SP - 363
EP - 372
BT - Numerical Mathematics and Advanced Applications, ENUMATH 2019
A2 - Vermolen, Fred J.
A2 - Vuik, Cornelis
PB - Springer Science and Business Media Deutschland GmbH
CY - Cham
Y2 - 30 September 2019 through 4 October 2019
ER -