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Blog Post number 4
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Blog Post number 1
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portfolio
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publications
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow
Published in SIAM Journal on Numerical Analysis, 61(4), Pages 1613-2010, 2023
(Joint with Wei Jiang and Chunmei Su)
Stable Backward Differentiation Formula Time Discretization of BGN-Based Parametric Finite Element Methods for Geometric Flows
Published in SIAM Journal on Scientific Computing, 46(5), Pages A2874-A2898, 2024
(Joint with Wei Jiang and Chunmei Su)
A second-order in time, BGN-based parametric finite element method for geometric flows of curves
Published in Journal of Computational Physics, 514, Paper 113220, 2024
(Joint with Wei Jiang and Chunmei Su)
Predictor-corrector, BGN-based parametric finite element methods for surface diffusion
Published in Journal of Computational Physics, 530, Paper 113901, 2025
(Joint with Wei Jiang, Chunmei Su and Lian Zhang)
Convergence analysis of three semidiscrete numerical schemes for nonlocal geometric flows including perimeter terms
Published in IMA Journal of Numerical Analysis, to appear, 2025
(Joint with Wei Jiang and Chunmei Su)
Structure-preserving parametric finite element method for surface diffusion based on Lagrange multiplier approaches
Published in SIAM Journal on Scientific Computing, to appear, 2025
(Joint with Harald Garcke, Wei Jiang and Chunmei Su)
Isoparametric finite element methods for mean curvature flow and surface diffusion
Published in arXiv preprint arXiv:2503.10774, 2025
(Joint with Harald Garcke, Robert Nurnberg and Simon Praetorius)
talks
teaching
Differential Geometry
Undergraduate course (teaching assistant), Department of Mathematics, Tsinghua University, 2020
Complex Analysis
Undergraduate course (teaching assistant), Department of Mathematics, Tsinghua University, 2021