HOFEM: A higher order finite element method electromagnetic simulator

García-Doñoro, Daniel; Martínez-Fernández, Ignacio; Garcı́a-Castillo, L.E.; Salazar-Palma, M.

doi:10.1109/compem.2015.7052537

Cited by 7 publications

(5 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…If an equation of the type Du = f -where D is the differential operator, u is the solution and f is the source term-has to be solved, u is manufactured and then the equation is applied to find f . In our case, the second order prismatic finite element presented here has been implemented in our own finite element code HOFEM [12], [35] which originally works with tetrahedral elements. HOFEM makes use of a double curl vector wave equation in terms of either the electric field or the magnetic TABLE III: Formulation magnitudes and parameters.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The research group to which the authors belong has developed its own family of higher order curl-conforming simplices of mixed order, [10], [11]. Specifically, curl-conforming tetrahedral elements are included in an in-house electromagnetic simulator named HOFEM (Higher Order Finite Element Method), [12]. HOFEM has demonstrated to be a reliable tool in the daily basis design tasks carried out by the antenna and microwave circuit researchers in the group.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Second-Order Nédélec Curl-Conforming Prismatic Element for Computational Electromagnetics

Amor-Martín

Garcı́a-Castillo

Garcia-Dooro

2016

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

A systematic approach to obtain mixed order curlconforming basis functions for a triangular prism is presented; focus is made on the second-order case. Space of functions for the prism is given. Basis functions are obtained as dual basis with respect to properly discretized Nédélec degrees of freedom functionals acting on elements of the space. Thus, the linear independence of the basis functions is assured while the belonging of the basis to the a-priori given space of functions is guaranteed. Different strategies for the finite element assembly of the basis are discussed. Numerical results showing the verification procedure of the correctness of the implemented basis functions are given. Numerical results about sensibility with respect to quality of the elements of the mesh of the condition number of the basis obtained are also shown. Comparison with other representative sets of basis functions for prisms are included.

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Second-Order Nédélec Curl-Conforming Prismatic Element for Computational Electromagnetics

Amor-Martín

Garcı́a-Castillo

Garcia-Dooro

2016

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

show abstract

“…En el presente trabajo se emplea una versión modificada de un mallador comercial llamado GiD [60,61]. Las modificaciones aplicadas nos permiten realizar una estrecha integración con el código desarrollado: Higher Order Finite Element Method (HOFEM) [62][63][64][65][66].…”

Section: Formulación Variacionalunclassified

“…Este análisis se realiza con uno de los elementos que conforma la "unidad de repetición", llamada celda unidad. Este elemento se analiza y como condiciones de contorno se introducen las condiciones de contorno periódicas, que pueden ser aplicadas de diversas formas (ver [66,83]).…”

Section: Capítulo 3 Método De Periodicidad Finitaunclassified

Mesh-based multi-frontal solver with reuse of partial LU factorizations for antenna array

Martínez-Fernández

Woźniak

Garcı́a-Castillo

et al. 2017

Journal of Computational Science

Self Cite

View full text Add to dashboard Cite

“…This work gathers the developments performed by the research group from latter 90s until today. Readers have further information about this research line in the book and several journal papers, as for instance .…”

Section: Introductionmentioning

confidence: 99%

Analysis of planar microwave devices using higher order curl‐conforming triangular prismatic finite elements

García-Doñoro

Sun

Amor-Martín

et al. 2016

Micro & Optical Tech Letters

Self Cite

View full text Add to dashboard Cite

monitored when the pump power was 120 mW. The spectrum stability was measured every 2 min. As shown in Figures 6(a) and 6(b), the power fluctuation was less than 0.15 dB, and no mode hopping was observed within the 20-min scan time. When the pump power was 150 mW and only the 1529.4-and 1531.6-nm lines were emitted, the double-wavelength stability was tested. As shown in Figures 6(c) and 6(d), two lines show a good stability with power variations less than 0.153 and 0.138 dBm. Because of the existence of flexible triple-wavelength lines, three lasers in the maximum and minimum tuning ranges were monitored under the same conditions. As shown in Figures 6(e) and 6(f), the 1529.2-, 1531.6-, and 1534.2-nm lines show excellent stability and the peak power shifts were less than 0.309, 0.615, and 0.595 dBm, respectively. By adjusting the TF, triple wavelengths of 1528.6-, 1531-, and 1560.2-nm lasers could be achieved with a power fluctuation less than 0.689, 0.18, and 1.285 dBm within 20 min at room temperature. The SMSR was greater than 35 dB.The proposed multiwavelength EDFL proved to be effective, as it could generate stable and tunable single-and triplewavelength laser output. CONCLUSIONA stable and tunable multiwavelength EDFL based on a dualpass MZI and TF was proposed and realized experimentally. The single-wavelength laser tuning interval was less than 2.6 nm within a tuning range of 1526.8-1558.6 nm, the power difference of each line was less than 0.8 dB, and the SMSR was greater than 29.2 dB in the tuning process. In the experiment, a double-wavelength and tunable triple-wavelength laser could be realized by adjusting the TF, and the tuning interval was less than 2.6 nm. The single-wavelength laser power fluctuation was less than 0.15 dB within a 20-min scan time. For dualwavelength lasers, the peak power shift was less than 0.153 dB. The power variation for the triple-wavelength laser was less than 1.285 dBm and the SMSR was greater than 35 dB. The proposed EDFL showed flexible tuning capability and high stability, and can be widely applied to optical sensors, fiber communication, and spectrum analysis. 5. T. Huang, X. Li, P.P. Shum, et al. All-fiber multiwavelength thulium-doped laser assisted by four-wave mixing in highly germania-doped fiber, Opt It is well-known that MoM and FDTD are powerful techniques for the simulation of a wide range of electromagnetic problems such as radiation/scattering problems of both metallic and dielectric structures. However, the methods present some small inaccuracies when the models contain complex nonhomogeneous dielectric materials or complex geometric shapes. Conversely, FEM offers a great flexibility in the treatment of complex structures, even in the case of those non-homogeneous dielectric materials.In this context, it is important to mention the contributions done by the authors to the computational electromagnetic community during the last decade. One important work performed during this period has been the development of a full wave electromagnetic software based o...

show abstract

HOFEM: A higher order finite element method electromagnetic simulator

Cited by 7 publications

References 12 publications

Second-Order Nédélec Curl-Conforming Prismatic Element for Computational Electromagnetics

Second-Order Nédélec Curl-Conforming Prismatic Element for Computational Electromagnetics

Mesh-based multi-frontal solver with reuse of partial LU factorizations for antenna array

Analysis of planar microwave devices using higher order curl‐conforming triangular prismatic finite elements

Contact Info

Product

Resources

About