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physics.flu-dyn2023
A note on balance laws of coupled surface and bulk fluid flows
Qi Sun, Vladimir Yushutin
Balance laws of coupled bulk-surface-bulk fluid flows are considered. We carefully investigate how do the interface conditions influence the total mass, total momentum and total en…
math.NA2023
An adaptive stabilized trace finite element method for surface PDEs
Timo Heister, Maxim A. Olshanskii, Vladimir Yushutin
The paper introduces an adaptive version of the stabilized Trace Finite Element Method (TraceFEM) designed to solve low-regularity elliptic problems on level-set surfaces using a s…