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math.AP2026
Intrinsic Structure of Elasticity in Hilbert Space
Cristian G. Gebhardt, Johannes Lankeit, Marc C. Steinbach
Mathematical elasticity has a long history and a huge body of literature. Surprisingly, at its heart elasticity exhibits a rich and transparent structure that, to our knowledge, is…
math.NA2026
Numerical Analysis of a Cut Finite Element Approach for Fully Eulerian Fluid-Structure Interaction with Fixed Interface
Stefan Frei, Tobias Knoke, Marc C. Steinbach +2
This work develops and analyzes a variational-monolithic unfitted finite element formulation of a linear fluid-structure interaction problem in Eulerian coordinates with a fixed in…