A two-grid virtual element method for nonlinear variable-order time-fractional diffusion equation on polygonal meshes

Two-grid virtual element discretization of semilinear elliptic problem

(2023) Fengxin Chen et al.   APPLIED NUMERICAL MATHEMATICS

A mixed virtual element method for the time-fractional fourth-order subdiffusion equation

(2022) Yadong Zhang et al.   NUMERICAL ALGORITHMS

On the convergence and superconvergence for a class of two‐dimensional time fractional reaction‐subdiffusion equations

(2022) Yabing Wei et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations

(2022) Qiling Gu et al.   COMPUTATIONAL & APPLIED MATHEMATICS

Superconvergence analysis of finite element methods for the variable-order subdiffusion equation with weakly singular solutions

(2022) Chaobao Huang et al.   APPLIED MATHEMATICS LETTERS

Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework

(2021) Meng Li et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Two-grid methods for nonlinear time fractional diffusion equations by L1-Galerkin FEM

(2021) Qingfeng Li et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

The Stokes complex for Virtual Elements in three dimensions

(2020) L. Beirao da Veiga et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

(2020) Xiangcheng Zheng et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

A Parareal Finite Volume Method for Variable-Order Time-Fractional Diffusion Equations

(2020) Huan Liu et al.   JOURNAL OF SCIENTIFIC COMPUTING

Wellposedness and regularity of the variable-order time-fractional diffusion equations

(2019) Hong Wang et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Analysis and numerical solution of a nonlinear variable-order fractional differential equation

(2019) Hong Wang et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Some error analysis on virtual element methods

(2018) Long Chen et al.   CALCOLO

Stability and convergence of the higher projection method for the time-dependent viscoelastic flow problem

(2018) Tong Zhang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A two-grid finite element approximation for a nonlinear time-fractional Cable equation

(2016) Yang Liu et al.   NONLINEAR DYNAMICS

Activated desorption at heterogeneous interfaces and long-time kinetics of hydrocarbon recovery from nanoporous media

(2016) Thomas Lee et al.   Nature Communications

Virtual element methods for parabolic problems on polygonal meshes

(2015) Giuseppe Vacca et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations

(2015) Fanhai Zeng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

The Hitchhiker's Guide to the Virtual Element Method

(2014) L. Beirão da Veiga et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS

(2012) L. BEIRÃO DA VEIGA et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Variable-order fractional differential operators in anomalous diffusion modeling

(2009) HongGuang Sun et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

(2009) P. Zhuang et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS