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math.NA2026
On the pure traction problem of linear elasticity: a regularized formulation and its robust approximation
Ahsan Kaleem, Cristian Gebhardt, Ignacio Romero
The pure traction problem of elasticity appears frequently in engineering applications, and its complexity stems from the fact that its solution is unique only up to (infinitesimal…
math.NA2019
A new conservative/dissipative time integration scheme for nonlinear mechanical systems
Cristian G. Gebhardt, Ignacio Romero, Raimund Rolfes
We present a conservative/dissipative time integration scheme for nonlinear mechanical systems. Starting from a weak form, we derive algorithmic forces and velocities that guarante…