Singular boundary method for 3D time-harmonic electromagnetic scattering problems

Wei, Xing; Sun, Linlin

doi:10.1016/j.apm.2019.06.039

Cited by 17 publications

(2 citation statements)

References 30 publications

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“…The method eliminates the complicated fictitious boundary issue associated with the traditional MFS. Based on the SBM, highly accurate results have been obtained in various wave cases [19][20][21], large-scale problems [22], transient matters [23,24], and heat conduction problems in layered materials [25,26]. In this paper, the SBM is extended to solve steady-state free boundary problems.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Steady-State Free Boundary Problems using the Singular Boundary Method

sci¹

2021

AAMM

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In this paper, the recently-developed singular boundary method is applied to address free boundary problems. This mesh-less numerical method is based on the use of the origin intensity factors with fundamental solutions. Three numerical examples and their results are compared with the results obtained using traditional methods. The comparisons indicate that the proposed scheme yields good results in determining the position of the free boundary.

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Section: Introductionmentioning

confidence: 99%

Numerical Solution of Steady-State Free Boundary Problems using the Singular Boundary Method

sci¹

2021

AAMM

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“…Actually, the SBM is a typical boundary-based meshless numerical technique [11][12][13][14] and can effectively overcome some defects of the classical BEM. Currently, the SBM has been successfully applied in many engineering problems, such as the seismic wave problems [15] and electromagnetic wave problems [16].…”

Section: Introductionmentioning

confidence: 99%

A Novel Triangular Element with Continuous Nodal Acoustic Pressure Gradient for Acoustic Scattering Problems

Chai

Zhang

2019

Mathematical Problems in Engineering

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To improve the performance of the standard finite element (FE) method in acoustic simulation, a novel triangular element with continuous nodal acoustic pressure gradient (FEM-T3-CNG) is presented to solve two-dimensional underwater acoustic scattering problems. In this FEM-T3-CNG model, the local approximation (LA) is represented by using the least-squares (LS) scheme, and the standard FE shape functions are employed to satisfy the partition of unity (PU) concept. In order to possess the important delta Kronecker property, the constrained orthonormalized LS (CO-LS) is utilized to construct the hybrid nodal shape functions. Incorporating the present FEM-T3-CNG element with the proper nonreflecting boundary condition, the two-dimensional underwater acoustic scattering problems in the infinite domain could be solved ultimately. The numerical results show that the present FEM-T3-CNG element behaves much better than the standard FEM-T3 element in terms of computation accuracy and can be regarded as a good alternative approach in exterior acoustic computation.

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Simulation of 2D and 3D inverse source problems of nonlinear time-fractional wave equation by the meshless homogenization function method

Lin

2021

Engineering with Computers

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Singular boundary method for 3D time-harmonic electromagnetic scattering problems

Cited by 17 publications

References 30 publications

Numerical Solution of Steady-State Free Boundary Problems using the Singular Boundary Method

Numerical Solution of Steady-State Free Boundary Problems using the Singular Boundary Method

A Novel Triangular Element with Continuous Nodal Acoustic Pressure Gradient for Acoustic Scattering Problems

Simulation of 2D and 3D inverse source problems of nonlinear time-fractional wave equation by the meshless homogenization function method

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