81 citations · 96 across the 10 of their papers we have counts for
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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…
Higher-order multiscale method and its convergence analysis for nonlinear thermo-electric coupling problems of composite structures
Hao Dong, Zongze Yang, Yufeng Nie
This paper proposes a higher-order multiscale computational method for nonlinear thermo-electric coupling problems of composite structures, which possess temperature-dependent mate…
High-order splitting finite element methods for the subdiffusion equation with limited smoothing property
Buyang Li, Zongze Yang, Zhi Zhou
In contrast with the diffusion equation which smoothens the initial data to for (away from the corners/edges of the domain), the subdiffusion equation only exhibit…
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…
Finite Element Methods for Fractional PDEs in Three Dimensions
Zongze Yang, Zhanbin Yuan, Yufeng Nie +1
This paper is a generalization of the previous work (Yang et.al, J. Comput. Phys. 330 (2017), 863-883) to the 3-D irregular convex domains. The analytical calculation formula of fr…
Numerical algorithm for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term
Jiahui Hu, Jungang Wang, Zhanbin Yuan +2
In this paper, an alternating direction implicit (ADI) difference scheme for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term is pres…
An exponential B-spline collocation method for fractional sub-diffusion equation
X. G. Zhu, Y. F. Nie, Z. B. Yuan +2
In this article, we propose an exponential B-spline collocation method to approximate the solution of the fractional sub-diffusion equation of Caputo type. The present method is ge…
Maximum-norm error analysis of compact difference schemes for the backward fractional Feynman-Kac equation
Jiahui Hu, Jungang Wang, Zhanbin Yuan +2
The fractional Feynman-Kac equations describe the distribution of functionals of non-Brownian motion, or anomalous diffusion, including two types called the forward and backward fr…
Effective numerical treatment of sub-diffusion equation with non-smooth solution
Zongze Yang, Jungang Wang, Yan Li +1
In this paper we investigate a sub-diffusion equation for simulating the anomalous diffusion phenomenon in real physical environment. Based on an equivalent transformation of the o…
Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
Z. Yang, Z. Yuan, Y. Nie +3
In this paper, we consider two-dimensional Riesz space fractional diffusion equations with nonlinear source term on convex domains. Applying Galerkin finite element method in space…