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 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.
Fields of Study & Subjects
Advanced Numerical Methods in Computational Mathematics
Advanced Mathematical Modeling in Engineering
Matrix Theory and Algorithms
Publication details
- Journal / source
- Journal of Computational Physics
- Volume
- 568
- Pages
- 115428–115428
- Publication date
- 24 September 2026
- Language
- EN