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Simulation of Metasurfaces in Finite Difference Techniques [PDF]
IEEE Transactions on Antennas and Propagation, 2016 We introduce a rigorous and simple method for analyzing metasurfaces, modeled as zero-thickness electromagnetic sheets, in finite difference (FD) techniques.
Yousef Vahabzadeh, K. Achouri, C. Caloz
semanticscholar +3 more sources
Hybrid finite difference/finite element immersed boundary method [PDF]
International Journal for Numerical Methods in Biomedical Engineering, 2016 The immersed boundary method is an approach to fluid‐structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of the
Boyce E. Griffith, Xiaoyu Luo
semanticscholar +6 more sources
A Nodal Immersed Finite Element-Finite Difference Method. [PDF]
J Comput Phys, 2023 The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finite element (FE) method to approximate the stresses and forces on a structural mesh and a finite difference (FD) method to approximate the momentum of the entire fluid ...
Wells D +3 more
europepmc +5 more sources
Finite difference magnetoelastic simulator. [PDF]
Open Res Eur, 2021 We describe an extension of the micromagnetic finite difference simulation software MuMax3 to solve elasto-magneto-dynamical problems. The new module allows for numerical simulations of magnetization and displacement dynamics in magnetostrictive materials and structures, including both direct and inverse magnetostriction.
Vanderveken F +7 more
europepmc +4 more sources
Finite-Difference Operators for 2D problems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020 This paper presents the concept of using algorithms for reducing the dimensions of finite-difference equations of two-dimensional (2D) problems, for second-order partial differential equations.
T. Sobczyk
doaj +1 more source
Multiplicative finite difference methods [PDF]
Quarterly of Applied Mathematics, 2009 Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these new approaches.
Rıza, Mustafa +2 more
openaire +5 more sources
Fractional discrete-continuous model of heat transfer process [PDF]
Archives of Control Sciences, 2021 The paper proposes a new, state space, finite dimensional, fractional order model of a heat transfer in one dimensional body. The time derivative is described by Caputo operator.
Krzysztof Oprzędkiewicz +1 more
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MethodsX, 2023 This paper reports a new fourth order Finite Difference Method (FDM) in exponential form for two-dimensional quasilinear boundary value problem of elliptic type (BVPE) with variant solution domain.
Nikita Setia, R.K. Mohanty
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Finite difference schemes with monotone operators
Advances in Difference Equations, 2004 Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached.
N. C. Apreutesei
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MethodsX, 2023 We consider two-parameter singularly perturbed problems of reaction-convection-diffusion type in one dimension. The convection coefficient and source term are discontinuous at a point in the domain.
Nirmali Roy, Anuradha Jha
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