6 papers
High-order parametric local discontinuous Galerkin methods for anisotropic curve-shortening flows
Xiuhui Guo, Wei Jiang, Chunmei Su
We propose a family of high-order local discontinuous Galerkin (LDG) methods, built on a parametric representation and coupled with a semi-implicit backward Euler time discretizati…
Predictor-corrector, BGN-based parametric finite element methods for surface diffusion
Wei Jiang, Chunmei Su, Ganghui Zhang +1
We present a novel parametric finite element approach for simulating the surface diffusion of curves and surfaces. Our core strategy incorporates a predictor-corrector time-steppin…
Structure-preserving parametric finite element method for curve diffusion based on Lagrange multiplier approaches
Harald Garcke, Wei Jiang, Chunmei Su +1
We propose a novel formulation for parametric finite element methods to simulate surface diffusion of closed curves, which is also called as the curve diffusion. Several high-order…
Stable BDF time discretization of BGN-based parametric finite element methods for geometric flows
Wei Jiang, Chunmei Su, Ganghui Zhang
We propose a novel class of temporal high-order parametric finite element methods for solving a wide range of geometric flows of curves and surfaces. By incorporating the backward…
A second-order in time, BGN-based parametric finite element method for geometric flows of curves
Wei Jiang, Chunmei Su, Ganghui Zhang
Over the last two decades, the field of geometric curve evolutions has attracted significant attention from scientific computing. One of the most popular numerical methods for solv…
Convergence analysis of three semi-discrete numerical schemes for nonlocal geometric flows including perimeter terms
Jiang Wei, Su Chunmei, Zhang Ganghui
We present and analyze three distinct semi-discrete schemes for solving nonlocal geometric flows incorporating perimeter terms. These schemes are based on the finite difference met…