Below my recent publications are listed.
📄 Andrea Brugnoli, Ramy Rashad, Yi Zhang, Stefano Stramigioli, Finite element hybridization of port-Hamiltonian systems, arXiv: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.
📄 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.
📄 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.
📰 Yi Zhang, An introduction to the mimetic spectral element method, a part of my Ph.D. thesis, 2022
📖 Yi Zhang, Mimetic Spectral Element Method and Extensions toward Higher Computational Efficiency, Ph.D. thesis, 2022.
📄 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.
📄 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.
📄 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.
📄 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.
📄 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).
📄 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.
📄 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.
For my older publications, see Older publications.
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