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Articles | Volume 17, issue 10
Articles | Volume 17, issue 10
https://doi.org/10.5194/se-17-1167-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-17-1167-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 17, issue 10
Method article
 | 
19 Oct 2026
Method article |  | 19 Oct 2026

Efficient Uzawa algorithms with projection strategies for geodynamic Stokes flow

Deok-Kyu Jang, Kyeong-Min Lee, Cedric Thieulot, Whan-Hyuk Choi, and Byung-Dal So

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Short summary
We developed faster methods for simulating Earth's interior dynamics. Standard iterative algorithms struggle to solve these equations efficiently. We introduced two improvements. First, we reformulated how calculation errors are measured. Second, we added a mass conservation correction. The first reduces the number of expensive solves, and the second improves accuracy over long simulations. We tested the method on several benchmarks, and both improvements come at little extra cost.
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