Application of the generalized finite difference method to three-dimensional transient electromagnetic problems

DOI10.1016/j.enganabound.2017.08.015zbMath1403.76131OpenAlexW2749127509MaRDI QIDQ1658820

Maohai Wang, Wen Chen, Yan Gu, Jian Chen, Lianguang Liu

Publication date: 15 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.08.015

zbMATH Keywords

Maxwell's equationsmeshless methodgeneralized finite difference methodtransient electromagnetic problem

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (4)

Improvements to the meshless generalized finite difference method ⋮ Acoustic Bandgap Calculation of Liquid Phononic Crystals via the Meshless Generalized Finite Difference Method ⋮ Scattering of elastic waves by a 3-D inclusion in a poroelastic half space ⋮ A high-efficient splitting step reduced-dimension pure meshless method for transient 2D/3D Maxwell's equations in complex irregular domain

Cites Work

• Meshless method for solving coupled radiative and conductive heat transfer in complex multi-dimensional geometries
• Meshfree explicit local radial basis function collocation method for diffusion problems
• An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation
• Some comments on the ill-conditioning of the method of fundamental solutions
• An \(h\)-adaptive method in the generalized finite differences
• Improvements of generalized finite difference method and comparison with other meshless method
• Direct meshless local Petrov-Galerkin method for the two-dimensional Klein-Gordon equation
• A new implementation of the element free Galerkin method
• Boundary knot method for Poisson equations
• A new meshless approach for three dimensional fluid flow and related heat transfer problems
• Generalized finite difference method for solving two-dimensional non-linear obstacle problems
• A note on the dynamic analysis using the generalized finite difference method
• Solving parabolic and hyperbolic equations by the generalized finite difference method
• Novel meshless method for solving the potential problems with arbitrary domain
• A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function
• Solving third- and fourth-order partial differential equations using GFDM: application to solve problems of plates
• A meshless singular boundary method for three‐dimensional elasticity problems
• A Structured Grid Finite-Element Method Using Computed Basis Functions

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