A mixed finite element method for curve diffusion flow using a biorthogonal system

Abstract

Finite element methods for higher order parabolic curve flow are reasonably well established since the pioneering work of Dzuik, Kuwert and Schätzle [SIAM J. Math. Anal., 33(5):1228–1245, 2002].
We develop here a new finite element scheme for a corresponding system of two second order equations for the curve diffusion flow using a biorthogonal system. This approach improves accuracy and efficiency over other methods.

References

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