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.

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Year of publication:	2021
Authors:	Hoppe, Fabian ; Neitzel, Ira
Published in:	Computational Optimization and Applications. - New York, NY : Springer US, ISSN 1573-2894. - 2021, p. 1-30
Publisher:	New York, NY : Springer US
Subject:	Quasilinear parabolic partial differential equation \| Reduced basis \| Proper Orthogonal Decomposition \| A-posteriori error

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Type of publication:	Article
Type of publication (narrower categories):	Article
Language:	English
Other identifiers:	10.1007/s10589-021-00299-y [DOI]
Classification:	k59 ; M15 - IT Management
Source:	EconStor

Persistent link: https://www.econbiz.de/10014501692