Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems

Lee, Jia-Wei; Liu, Li Wei; Hong, Hong Ki; Chen, Jeng‐Tzong

doi:10.1016/j.enganabound.2016.07.007

Cited by 8 publications

(2 citation statements)

References 14 publications

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“…More works on the finite element method in cavity scattering are seen in [12,13]. In addition to the usual finite difference method and finite element method, there are many methods to solve the groove scattering problem, including the boundary element method [14][15][16][17], the perfect matching layer method [18][19][20][21] and so on.…”

Section: Introductionmentioning

confidence: 99%

A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media

Fang,

Zhang,

Zhao

2024

Mathematics

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We present a non-traditional finite element method for the electromagnetic scattering of the partly covered groove filled with multiple media. The non-local boundary condition is introduced to make the unbounded scattering into a bounded domain problem. Non-body-fitted mesh is applied to save the cost of discretizing groove domain greatly. In addition, the level set functions are utilized to describe complex media interfaces and boundaries. Numerical tests demonstrate the effectiveness and second-order convergence rate of the proposed method.

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Section: Introductionmentioning

confidence: 99%

A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media

Fang,

Zhang,

Zhao

2024

Mathematics

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“…This problem becomes especially interesting if we note that function theories in higher dimensions has important applications in mathematical and theoretical physics, in mechanics of continua etc. (see, for example, [25,26,27]).…”

Section: Introductionmentioning

confidence: 99%

Quaternionic G-Monogenic Mappings in Em

Shpakivskyi

Kuzmenko

2018

IJARM

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We consider a class of so-called quaternionic G-monogenic mappings associatedwith m-dimensional (m 2 f2; 3; 4g) partial differential equations and propose a description of allmappings from this class by using four analytic functions of complex variable. For G-monogenicmappings we generalize some analogues of classical integral theorems of the holomorphic functiontheory of the complex variable (the surface and the curvilinear Cauchy integral theorems,the Cauchy integral formula, the Morera theorem), and Taylor’s and Laurent’s expansions.Moreover, we investigated the relation between G-monogenic and H-monogenic (differentiablein the sense of Hausdorff) quaternionic mappings.

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Cauchy Extension

2023

Numerical Calculations in Clifford Algebra

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Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems

Cited by 8 publications

References 14 publications

A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media

A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media

Quaternionic <i>G</i>-Monogenic Mappings in <i>E<sub>m</sub></i>

Cauchy Extension

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