Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/286898 
Year of Publication: 
2021
Citation: 
[Journal:] Computational Optimization and Applications [ISSN:] 1573-2894 [Publisher:] Springer US [Place:] New York, NY [Year:] 2021 [Pages:] 1-30
Publisher: 
Springer US, New York, NY
Abstract: 
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.
Subjects: 
Quasilinear parabolic partial differential equation
Reduced basis
Proper Orthogonal Decomposition
A-posteriori error
JEL: 
K59
M15
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

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