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
Englisch

Bibliographic citation
Journal: Computational Optimization and Applications ; ISSN: 1573-2894 ; Year: 2021 ; Pages: 1-30 ; New York, NY: Springer US

Classification
Mathematik
IT Management
Subject
Quasilinear parabolic partial differential equation
Reduced basis
Proper Orthogonal Decomposition
A-posteriori error

Event
Geistige Schöpfung
(who)
Hoppe, Fabian
Neitzel, Ira
Event
Veröffentlichung
(who)
Springer US
(where)
New York, NY
(when)
2021

DOI
doi:10.1007/s10589-021-00299-y
Last update
10.03.2025, 11:43 AM CET

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Object type

  • Artikel

Associated

  • Hoppe, Fabian
  • Neitzel, Ira
  • Springer US

Time of origin

  • 2021

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