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- Title
A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE.
- Authors
Hoppe, Fabian; Neitzel, Ira
- 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
PARABOLIC differential equations; REDUCED-order models; PROPER orthogonal decomposition
- Publication
Computational Optimization & Applications, 2024, Vol 87, Issue 3, p755
- ISSN
0926-6003
- Publication type
Article
- DOI
10.1007/s10589-021-00299-y