arXiv · 2601.16640
Convergent adaptive iterative schemes for solving multi-physics problems
Abstract
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.
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Jakob S. Stokke, Kundan Kumar, Florin A. Radu. 2026-09-05. Convergent adaptive iterative schemes for solving multi-physics problems. https://arxiv.org/abs/2601.16640
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