Simulation of constrained elastic curves and application to a conical sheet indentation problem

04/23/2020
by   Sören Bartels, et al.
0

We consider variational problems that model the bending behavior of curves that are constrained to belong to given hypersurfaces. Finite element discretizations of corresponding functionals are justified rigorously via Gamma-convergence. The stability of semi-implicit discretizations of gradient flows is investigated which provide a practical method to determine stationary configurations. A particular application of the considered models arises in the description of conical sheet deformations.

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