Localized model order reduction and domain decomposition methods for coupled heterogeneous systems. (English) Zbl 07772297
Summary: We propose a model order reduction technique to accurately approximate the behavior of multi-component systems without any a-priori knowledge of the coupled model. In the offline phase, we construct independent surrogate models by solving the local problems with parametrized interface boundary conditions, while we combine them using domain decomposition techniques during the online phase. We show the potential of the proposed approach in terms of accuracy, computational performance and robustness in a series of test cases, including nonlinear and multi-physics problems.
© 2023 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.
© 2023 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.
MSC:
| 65Mxx | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |
| 65Nxx | Numerical methods for partial differential equations, boundary value problems |
| 35Kxx | Parabolic equations and parabolic systems |
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