Huili Zhang

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math.NA2026

A New $L 2 - 1_{σ}$ -Interior Penalty Method for Variable-Order Time-Fractional Subdiffusion Interface Problem with Curved Interface

Hongying Huang, Chanchan Hao, Changmu Yu +1

This paper treats variable-order time-fractional subdiffusion with discontinuous coefficients across a curved interface using $L 2 - 1_{σ}$ time stepping on graded meshes and a symm…

math.NA2024

Determining superconvergence points for $L 2 - 1_{σ}$ scheme of variable-exponent subdiffusion and error estimate

Hongying Huang, Huili Zhang, Xiangcheng Zheng

We develop a numerical scheme for subdiffusion of variable exponent by combining the $L 2 - 1_{σ}$ temporal discretization with finite element spatial approximation. In existing works,…

A New L2−1σ​-Interior Penalty Method for Variable-Order Time-Fractional Subdiffusion Interface Problem with Curved Interface

Determining superconvergence points for L2−1σ​ scheme of variable-exponent subdiffusion and error estimate

A New $L 2 - 1_{σ}$ -Interior Penalty Method for Variable-Order Time-Fractional Subdiffusion Interface Problem with Curved Interface

Determining superconvergence points for $L 2 - 1_{σ}$ scheme of variable-exponent subdiffusion and error estimate