PUBLICATIONS¶

Below my recent publications are listed.

Preprint¶

📄 Andrea Brugnoli, Ramy Rashad, Yi Zhang, Stefano Stramigioli, Finite element hybridization of port-Hamiltonian systems, arXiv:2302.06239.

🌱 https://arxiv.org/abs/2302.06239

📄 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.

🌱 DOI: 10.21203/rs.3.rs-2442189/v1

2023¶

📄 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.

🌱 doi.org/10.1080/13873954.2023.2184835, cite as

2022¶

📄 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.

🌱 doi.org/10.1016/j.jcp.2021.110868, cite as

📰 Yi Zhang, An introduction to the mimetic spectral element method, a part of my Ph.D. thesis, 2022

🌱 [download document]

📖 Yi Zhang, Mimetic Spectral Element Method and Extensions toward Higher Computational Efficiency, Ph.D. thesis, 2022.

🌱 My Ph.D. thesis

2021¶

📄 Yi Zhang, Joël Fisser, Marc Gerritsma, A hybrid mimetic spectral element method for three-dimensional linear elasticity problems, Journal of Computational Physics 433 (2021) 110179.

🌱 JCP paper on linear elasticity (2021)

📄 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.

🌱 doi.org/10.1016/j.camwa.2020.09.022, cite as

📄 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.

doi.org/10.1007/978-3-030-49836-8_11, cite as

2020¶

📄 Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma, Discrete Equivalence of Adjoint Neumann–Dirichlet div-grad and grad-div Equations in Curvilinear 3D Domains, Lecture Notes in Computational Science and Engineering 134 (2020) 203-213.

🌱 doi.org/10.1007/978-3-030-39647-3_15, cite as

📄 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).

doi.org/10.1007/978-3-030-30705-9_27, cite as

2019¶

📄 Yi Zhang, Varun Jain, Artur Palha, Marc Gerritsma, The Discrete Steklov–Poincaré Operator Using Algebraic Dual Polynomials, Computational Methods in Applied Mathematics 19(3) (2019) 645-661.

doi.org/10.1515/cmam-2018-0208, cite as

📄 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.

🌱 [download pdf]

For my older publications, see Older publications.

📣 If you have no access to the document on the DOI page or the download button does not work, please send me a message (see CHA-ABOUT). I will reply you with the document.

🌱 Open access

✍️ See my Co-authors.

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