1 citations · 1 across the 6 of their papers we have counts for
6 papers
A revisit to DeTurck method on curve shortening flow with optimal error analysis
Beiping Duan
The curve shortening--DeTurck flow introduced by Elliott and Fritz (IMA J. Numer. Anal. 37(2): 543--603, 2017) is a reparameterization of the curve shortening flow via the DeTurck…
A Second-order Structure-preserving Parametric FEM for Surface Evolution
Beiping Duan, Zongze Yang
In this paper, we propose a second-order-in-time, structure-preserving, and mesh-robust parametric finite element method for surface diffusion and volume-preserving mean curvature…
A quadrature scheme for steady-state diffusion equations involving fractional power of regularly accretive operator
Beiping Duan, Zongze Yang
In this paper, we construct a quadrature scheme to numerically solve the nonlocal diffusion equation with the -th power of the…
Padé-parametric FEM approximation for fractional powers of elliptic operators on manifolds
Beiping Duan
This paper focuses on numerical approximation for fractional powers of elliptic operators on -d manifolds. Firstly, parametric finite element method is employed to discretize th…
Numerical Approximation of Fractional Powers of Elliptic Operators
Beiping Duan, Raytcho Lazarov, Joeseph Pasciak
In this paper, we develop and study algorithms for approximately solving the linear algebraic systems: , , for with a fi…
Space-Time Petrov-Galerkin FEM for Fractional Diffusion Problems
Beiping Duan, Bangti Jin, Raytcho Lazarov +2
We present and analyze a space-time Petrov-Galerkin finite element method for a time-fractional diffusion equation involving a Riemann-Liouville fractional derivative of order $α\i…