Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Su, Chunmei"'
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 temporal discretizations are proposed based on this new formulation.
Externí odkaz:
http://arxiv.org/abs/2408.13443
We investigate a filtered Lie-Trotter splitting scheme for the ``good" Boussinesq equation and derive an error estimate for initial data with very low regularity. Through the use of discrete Bourgain spaces, our analysis extends to initial data in $H
Externí odkaz:
http://arxiv.org/abs/2402.11266
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 differentiation formulae (BDF) for time discretization into the BGN fo
Externí odkaz:
http://arxiv.org/abs/2402.03641
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 solving geometric flows is the so-called BGN scheme, which was proposed by
Externí odkaz:
http://arxiv.org/abs/2309.12875
Autor:
Li, Hang, Su, Chunmei
In this paper, we propose a semi-discrete first-order low regularity exponential-type integrator (LREI) for the ``good" Boussinesq equation. It is shown that the method is convergent linearly in the space $H^r$ for solutions belonging to $H^{r+p(r)}$
Externí odkaz:
http://arxiv.org/abs/2301.04403
We propose and analyze a semi-discrete parametric finite element scheme for solving the area-preserving curve shortening flow. The scheme is based on Dziuk's approach (SIAM J. Numer. Anal. 36(6): 1808-1830, 1999) for the anisotropic curve shortening
Externí odkaz:
http://arxiv.org/abs/2208.01324
Publikováno v:
In Journal of Computational Physics 1 October 2024 514
Autor:
Carles, Remi, Su, Chunmei
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. B 28 (2023), no. 5, 3136-3159
We consider the Schrodinger equation with a logarithmic nonlinearity and a repulsive harmonic potential. Depending on the parameters of the equation, the solution may or may not be dispersive. When dispersion occurs, it does with an exponential rate
Externí odkaz:
http://arxiv.org/abs/2202.09599
Autor:
Carles, Rémi, Su, Chunmei
We consider the nonlinear Schr{\"o}dinger equation with a defocusing nonlinearity which is mass-(super)critical and energy-subcritical. We prove uniform in time error estimates for the Lie-Trotter time splitting discretization. This uniformity in tim
Externí odkaz:
http://arxiv.org/abs/2110.14258
Autor:
Carles, Rémi, Su, Chunmei
Publikováno v:
Comm. Partial Differential Equations 47 (2022), no. 6, 1176-1192
We consider the Schr{\"o}dinger equation with a nondispersive logarithmic nonlinearity and a repulsive harmonic potential. For a suitable range of the coefficients, there exist two positive stationary solutions, each one generating a continuous famil
Externí odkaz:
http://arxiv.org/abs/2107.10024