PUBLICATIONSยถ

Below my publications are listed.

Jump to | Preprint | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2016.

๐Ÿ‡จ๐Ÿ‡ณ ๆˆ‘็š„ ไธญๆ–‡ๆ–‡็ซ .

Preprintยถ

๐Ÿ“„ Zhuolin Wang, Zichao Jiang, Yi Zhang, Gengchao Yang, Trevor Hocksun Kwan, Yuhui Chen, Qinghe Yao, A moving least square immersed boundary method for SPH with thin-walled structures, arxiv.org/abs/2309.10373.
๐Ÿ“„ Yi Zhang, Artur Palha, Marc Gerritsma, Qinghe Yao, A MEEVC discretization for two-dimensional incompressible Navier-Stokes equations with general boundary conditions, arxiv.org/abs/2307.08166.
๐Ÿ“„ Andrea Brugnoli, Ramy Rashad, Yi Zhang, Stefano Stramigioli, Finite element hybridization of port-Hamiltonian systems, arXiv:2302.06239.
๐Ÿ“„ Zichao Jiang, Zhuolin Wang, Qinghe Yao, Gengchao Yang, Yi Zhang, Junyang Jiang, A neural network-based Poisson solver for fluid simulation, rs.3.rs-2442189.

2023ยถ

๐Ÿ“„ Qinghe Yao, Zhuolin Wang, Yi Zhang, Zijie Li, Junyang Jiang, Towards real-time fluid dynamics simulation: A data-driven NN-MPS method and its implementation, Mathematical and Computer Modelling of Dynamical Systems 29 (2023) 95-115.

2022ยถ

๐Ÿ“„ Yi Zhang, Artur Palha, Marc Gerritsma, Leo G. Rebholz, A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations, part I: Periodic domains, Journal of Computational Physics 451 (2022) 110868.
๐Ÿ“ฐ Yi Zhang, An introduction to the mimetic spectral element method, a part of my Ph.D. thesis, 2022
๐Ÿ“– Yi Zhang, Mimetic Spectral Element Method and Extensions toward Higher Computational Efficiency, Ph.D. thesis, 2022.
๐ŸŒฑ My Ph.D. thesis

2021ยถ

๐Ÿ“„ Yi Zhang, Joรซl Fisser, Marc Gerritsma, A hybrid mimetic spectral element method for three-dimensional linear elasticity problems, Journal of Computational Physics 433 (2021) 110179.
๐Ÿ“„ Varun Jain, Yi Zhang, Artur Palha, Marc Gerritsma, Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes, Computers & Mathematics with Applications 95 (2021) 101-142.
๐Ÿ“„ Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma, The Use of Dual B-Spline Representations for the Double de Rham Complex of Discrete Differential Forms, Lecture Notes in Computational Science and Engineering 133 (2021) 227-242.

2020ยถ

๐Ÿ“„ Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma, Discrete Equivalence of Adjoint Neumannโ€“Dirichlet div-grad and grad-div Equations in Curvilinear 3D Domains, Lecture Notes in Computational Science and Engineering 134 (2020) 203-213.
๐Ÿ“„ Marc Gerritsma, Varun Jain, Yi Zhang, Artur Palha, Algebraic Dual Polynomials for the Equivalence of Curl-Curl Problems, Lecture Notes in Computational Science and Engineering 132 (2020).

2019ยถ

๐Ÿ“„ Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma, The Discrete Steklovโ€“Poincarรฉ Operator Using Algebraic Dual Polynomials, Computational Methods in Applied Mathematics 19(3) (2019) 645-661.
๐Ÿ“„ Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma, A high order hybrid mimetic discretization on curvilinear quadrilateral meshes for complex geometries, In proceedings of 6th European Conference on Computational Mechanics & 7th European Conference on Computational Fluid Dynamics (2019) 426-437.
๐ŸŒฑ [download pdf]

For my older publications, see Older publications.

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๐ŸŒฑ Open access

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