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| Main Authors: | , , |
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| Format: | Preprint |
| Udgivet: |
2026
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| Fag: | |
| Online adgang: | https://arxiv.org/abs/2601.16640 |
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Indholdsfortegnelse:
- In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, given an iterative method, we derive \textit{a posteriori} estimators to predict the success or failure of the method. Based on these estimators, we propose adaptive algorithms, including adaptively switching between methods, adaptive time-stepping methods, and the adaptive tuning of stabilization parameters. We apply this framework to two-phase flow in porous media, surfactant transport in porous media, and quasi-static poroelasticity.