Artikel
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
We prove a-posteriori error-estimates for reduced-order modeling of quasilinear parabolic PDEs with non-monotone nonlinearity. We consider the solution of a semi-discrete in space equation as reference, and therefore incorporate reduced basis-, empirical interpolation-, and time-discretization-errors in our consideration. Numerical experiments illustrate our results.
- Language
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Englisch
- Bibliographic citation
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Journal: Computational Optimization and Applications ; ISSN: 1573-2894 ; Year: 2021 ; Pages: 1-30 ; New York, NY: Springer US
- Classification
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Mathematik
IT Management
- Subject
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Quasilinear parabolic partial differential equation
Reduced basis
Proper Orthogonal Decomposition
A-posteriori error
- Event
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Geistige Schöpfung
- (who)
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Hoppe, Fabian
Neitzel, Ira
- Event
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Veröffentlichung
- (who)
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Springer US
- (where)
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New York, NY
- (when)
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2021
- DOI
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doi:10.1007/s10589-021-00299-y
- Last update
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10.03.2025, 11:43 AM CET
Data provider
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Object type
- Artikel
Associated
- Hoppe, Fabian
- Neitzel, Ira
- Springer US
Time of origin
- 2021