Feb 20, 2024 · Since the parametric FEM was proposed by Dziuk in 1990, it was widely used for approximating the evolution of surfaces under various geometric ...

NEW ARTIFICIAL TANGENTIAL MOTIONS FOR PARAMETRIC. FINITE ELEMENT APPROXIMATION OF SURFACE EVOLUTION. BEIPING DUAN∗ AND BUYANG LI†. Abstract. A new class of ...

A new class of parametric finite element methods, with a new type of artificial tangential velocity constructed at the continuous level, is proposed for ...

Mar 28, 2024 · New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution. February 2024; SIAM Journal on Scientific ...

Li: A convergent evolving finite element method with artificial tangential motion for surface evolution under a prescribed velocity field. SIAM J. Numer. Anal.

Feb 26, 2024 · Li, New artificial tangential motions for parametric finite element ap- proximation of surface evolution, SIAM J. Sci. Comput., 46 (2024) ...

PDF | Parametric finite element methods have achieved great success in approximating the evolution of surfaces under various different geometric flows,.

In this work, we aim to develop energy-stable parametric finite element approximations for a sharp-interface model with strong surface energy anisotropy, which ...

Jun 27, 2024 · A fully discrete, temporal second-order parametric finite element method is proposed for solving geometric flows of curves, such as curve ...

We present a finite element approximation of motion by minus the Laplacian of curvature and related flows. The proposed scheme covers both the closed curve ...