Open AccessJournal Article10.1109/TMAG.2006.870937

Post processing for the vector finite element method: accurate computing of dual field

- 20 Mar 2006

- Vol. 42, Iss: 4, pp 819-822

TL;DR: An accurate method to compute dual field in high frequency time harmonic problem is presented from a primal field obtained by a vector finite element discretization by using a least square argument.

Abstract: An accurate method to compute dual field in high frequency time harmonic problem is presented. From a primal field obtained by a vector finite element discretization, the dual field is obtained without numerical derivation by using a least square argument. The accuracy of the method is compared with the natural method using shape function derivatives

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Fig. 1. (a) Analytical model and (b) numerical model of scattering by a sphere.

Citations

•Journal Article•10.1108/03321640510615607

Post processing for the vector finite element method: from edge to nodal values

Christian Vollaire, +2 more

- 01 Dec 2005

- Compel-the International Journal for Com...

TL;DR: In this paper, post processing methods for the edge finite element (FE) method on a tetrahedral mesh were proposed, which make it possible to deduce vector values on the vertices from scalar values defined on the edges of the tetrahedra.

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•Journal Article

Optical switch based on cascaded SOI nonlinear directional coupler

Q. Tao, +6 more

- 01 Jan 2011

- Optica Applicata

TL;DR: In this paper, three effective refractive indexes for cascaded silicon-on-insulator (SOI) nonlinear directional coupler are calculated, and the coupling length LC, core-to-distance-ratio K and switching threshold power Pi, m are respectively.

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Journal Article•10.1117/1.3558853

Thermal stability analysis of nonlinear optical switch based on asymmetric three-core nonlinear directional coupler with variable Gaussian coupling coefficient

Qing Tao, +7 more

- 01 Jul 2011

- Optical Engineering

TL;DR: In this article, the thermal stability of the power transmission efficiency and the extinction ratio in an asymmetric three-core silicon-on-insulator nonlinear directional coupler with variable Gaussian coupling coefficient was analyzed.

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Proceedings Article•10.1109/CEFC-06.2006.1632995

Computation of Power with Vector Finite Element

Christian Vollaire, +2 more

- 05 Jun 2006

TL;DR: In this paper, the authors deal with the computation of the power starting from the electromagnetic field obtained by an edge finite element computation, where the electric field formulation of the wave equation is discretized by first order incomplete edge elements.

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Relative power loss of misalignment based on electro-optical printed circuit board

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- 01 Sep 2011

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TL;DR: In this paper, the power loss values between 45° total internal reflecting waveguide mirror (TIRWM) and the polymer optical waveguide layer are obtained by vector finite element method.

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References

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Field computation by moment methods

Roger F. Harrington

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TL;DR: This first book to explore the computation of electromagnetic fields by the most popular method for the numerical solution to electromagnetic field problems presents a unified approach to moment methods by employing the concepts of linear spaces and functional analysis.

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•Journal Article•10.1093/COMJNL/12.1.37

Field Computation by Moment Methods

D. S. Jones

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Journal Article•10.1109/20.250678

Edge elements and what they can do for you

Jon P. Webb

- 03 Aug 1992

TL;DR: The use of triangular and quadrilateral edge elements for 2D problems is briefly considered in this paper, with particular reference to tetrahedral elements and their useful properties such as continuity, singularity, and separation.

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199

Journal Article•10.1109/74.894187

Implementation issues for three-dimensional vector FEM programs

David B. Davidson

- 01 Dec 2000

- IEEE Antennas and Propagation Magazine

TL;DR: Theoretical and practical issues that impact on the development of (especially) three-dimensional vector finite-element (FEM) programs are discussed, and some comments on post-processing are made on the computation of fields within the FE mesh.

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•Journal Article•10.1109/20.497374

Vector absorbing boundary conditions for nodal or mixed finite elements

J.L. Yao Bi, +2 more

- 01 May 1996

- IEEE Transactions on Magnetics

TL;DR: In this paper, the authors present 2D and 3D vector absorbing boundary conditions for unbounded microwave problems, and show that it is possible to symmetrise these conditions with the same degree of precision.

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Post processing for the vector finite element method: accurate computing of dual field

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1. What are the contributions mentioned in the paper "Post processing for the vector finite element method: accurate computing of dual field" ?

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Citations

Post processing for the vector finite element method: from edge to nodal values

Optical switch based on cascaded SOI nonlinear directional coupler

Thermal stability analysis of nonlinear optical switch based on asymmetric three-core nonlinear directional coupler with variable Gaussian coupling coefficient

Computation of Power with Vector Finite Element

Relative power loss of misalignment based on electro-optical printed circuit board

References

Field computation by moment methods

Field Computation by Moment Methods

Edge elements and what they can do for you

Implementation issues for three-dimensional vector FEM programs

Vector absorbing boundary conditions for nodal or mixed finite elements

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