The finite-volume time-domain algorithm using least square method in solving Maxwell’s equations

Shi, Yan; Chen, Liang

doi:10.1016/j.jcp.2007.05.033

Cited by 11 publications

(3 citation statements)

References 29 publications

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“…Since the introduction of FV methods for electromagnetics at the end of the 1980s [13], FVTD has demonstrated attractive features for the solution of the Maxwell's equations for complex, real-world problems [14][15][16][17]. The FVTD method's versatility arise from two main characteristics: On the one hand, FV can be implemented in an explicit TD scheme, and on the other hand, it is applied in an unstructured, polyhedral mesh.…”

Section: Dispersive Materials For the Fvtd Methodsmentioning

confidence: 99%

A modular implementation of dispersive materials for time-domain simulations with application to gold nanospheres at optical frequencies

Baumann¹,

Hafner²,

Li³

2009

Opt. Express

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Section: Dispersive Materials For the Fvtd Methodsmentioning

confidence: 99%

A modular implementation of dispersive materials for time-domain simulations with application to gold nanospheres at optical frequencies

Baumann¹,

Hafner²,

Li³

2009

Opt. Express

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“…FDTD menggunakan grid berbentuk kotak untuk memodelkan permukaan geometri yang melengkung atau tidak lurus, sehingga pemodelan numeriknya tidak cocok dan mengalami penurunan akurasi. Untuk mengatasi hal tersebut metode Finite Volume Time Domain (FVTD) diusulkan untuk menyelesaikan persamaan Maxwell [7][8] [9]. Metode FVTD bersifat fleksibel dan mampu menangani kerumitan bentuk geometri.…”

Section: Pendahuluanunclassified

Pemodelan Awal Ground Penetrating Radar dengan Metode Discontinuous Galerkin dan PML Berenger

Pranowo¹

2016

Jurnal Nasional Teknik Elektro dan Teknologi Informasi (JNTETI)

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This paper discusses the development of Discontinuous Galerkin method, which has both linear shape function and weight function, for modeling Ground Penetrating Radar (GPR) in heterogeneous media. The triangular meshes are used due to their flexibility to deal with complex geometries. The Berenger Perfectly Matched Layer (PML) is used as absorbing boundary condition at the truncation boundaries. The numerical results of the DG method are compared with the exact solutions and the numerical results of FDTD method and the comparisons show that DG method has better accuracy than FDTD method and more stable for long time simulation. The simulation results of GPR show that the PML works well. Propagating waves at the edge of absorbing boundaries can be suppressed without any significant reflection. The results also show that various waves e.g., transmission waves, reflection waves, and diffraction waves produced by heterogeneous material can be simulated well. Intisari-Makalah ini membahas pengembangan metode Discontinuous Galerkin (DG) dengan fungsi bentuk dan bobot linier untuk pemodelan Ground Penetrating Radar (GPR) di dalam media heterogen. Mesh dengan elemen segitiga digunakan karena mampu menangani bentuk geometri yang rumit.Perfectly Matched Layer (PML) Berenger digunakan sebagai kondisi batas penyerap pada sisi batas media. Perbandingan hasil perhitungan metode DG dengan jawaban eksak dan metode FDTD menunjukkan bahwa metode DG mempunyai akurasi yang lebih baik dibanding metode FDTD, dan lebih stabil untuk simulasi dengan durasi yang panjang. Simulasi GPR menunjukkan bahwa PML bekerja dengan baik dan mampu menyerap gelombang yang keluar tanpa ada pantulan gelombang kembali ke dalam media secara signifikan. Hasil simulasi juga menunjukkan bahwa berbagai macam gelombang seperti gelombang transmisi, refleksi, dan difraksi yang timbul karena material heterogen dapat disimulasikan dengan baik.Kata Kunci-Pemodelan, simulasi, gelombang, GPR, Discontinuous Galerkin, PML.

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“…This led to better accuracy but again not the second order of approximation. In [14] Shi suggested a Runge-Kutta monotonic upstream-centered scheme for conservation laws (MUSCL scheme) with new variable reconstruction approach using least squares method but second order of convergence for discontinuous electromagnetic properties was not demonstrated.…”

Section: Introductionmentioning

confidence: 99%

Second order finite volume scheme for Maxwell's equations with discontinuous electromagnetic properties on unstructured meshes

Ismagilov

2015

Journal of Computational Physics

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The finite-volume time-domain algorithm using least square method in solving Maxwell’s equations

Cited by 11 publications

References 29 publications

A modular implementation of dispersive materials for time-domain simulations with application to gold nanospheres at optical frequencies

A modular implementation of dispersive materials for time-domain simulations with application to gold nanospheres at optical frequencies

Pemodelan Awal Ground Penetrating Radar dengan Metode Discontinuous Galerkin dan PML Berenger

Second order finite volume scheme for Maxwell's equations with discontinuous electromagnetic properties on unstructured meshes

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