Source and Boundary Implementation in Vector and Scalar DGTD

Alvarez, Jesus; Angulo, Luis D.; Pantoja, Mario F.; Bretones, A. Rubio; Garcia, S.G.

doi:10.1109/tap.2010.2046857

Cited by 48 publications

(22 citation statements)

References 17 publications

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“…The fields within each element can then be expanded in either scalar or vector basis functions. 21 One popular choice of basis functions is nodal-based Lagrange scalar functions. 9 Note that since the interpolation nodes in the DGTD can be chosen to reside inside each element, the use of nodal scalar basis functions in the DGTD obviates the constraint in the FEM, where the interpolated fields have to be tangentially continuous across the finite elements.…”

Section: Nodal Dgtd Methodsmentioning

confidence: 99%

Waveport modeling for the DGTD simulation of electromagnetic devices

Chang

Chen

Yan

et al. 2017

Int J Numerical Modelling

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The issue of waveport modeling for the numerical simulation of electromagnetic devices using the discontinuous Galerkin time-domain (DGTD) method is investigated. A new implementation of the waveport boundary condition (WPBC) is presented along with a fast evaluation of the required convolution. The performance of the WPBC for the DGTD simulation is then compared with that of the first-order absorbing boundary condition and the uniaxial perfectly matched layer (UPML).Two numerical examples are presented to demonstrate the waveport modeling for the DGTD simulation of electromagnetic devices based on the WPBC and UPML. KEYWORDS computational electromagnetics, discontinuous Galerkin time-domain (DGTD) method, numerical modeling, uniaxial perfectly matched layer (UPML), waveport boundary condition (WPBC) 1 Int J Numer Model. 2018;31:e2226.wileyonlinelibrary.com/journal/jnm

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Section: Nodal Dgtd Methodsmentioning

confidence: 99%

Waveport modeling for the DGTD simulation of electromagnetic devices

Chang

Chen

Yan

et al. 2017

Int J Numerical Modelling

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“…DGTD, in turn, when used in conjunction with an explicit time integration technique, allows for each element to be solved independently, thus drastically reducing the computational burden with respect to CG, making it comparable even to that of classical FDTD [43], [44].…”

Section: Cgtd Versus Dgtd: the Cdgtd Methodsmentioning

confidence: 99%

A Nodal Continuous-Discontinuous Galerkin Time-Domain Method for Maxwell's Equations

Angulo

Alvarez

Teixeira

et al. 2015

IEEE Trans. Microwave Theory Techn.

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A new nodal hybrid continuous-discontinuous Galerkin time-domain (CDGTD) method for the solution of Maxwell's curl equations is proposed and analyzed. This hybridization is made by clustering small collections of elements with a continuous Galerkin (CG) formalism. These clusters exchange information with their exterior through a discontinuous Galerkin (DG) numerical flux. This scheme shows reduced numerical dispersion error with respect to classical DG formulations for certain orders and numbers of clustered elements. The spectral radius of the clustered semi-discretized operator is smaller than its DG counterpart allowing for larger time steps in explicit time integrators. Additionally, the continuity across the element boundaries allows us a reduction of the number of degrees of freedom of up to about 80% for a low-order three-dimensional implementation. Index Terms-Continuous-discontinuous Galerkin time-domain (CDGTD), continuous Galerkin (CG) method, discontinuous Galerkin (DG) method, discontinuous Galerkin time-domain (DGTD), Maxwell's equations.

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“…We have included in (4) possible surface currents required for the implementation of Huygen's sources [23] and used to excite the antenna feeding points.…”

Section: Lfdg Formulationmentioning

confidence: 99%

Efficient Antenna Modeling by DGTD: Leap-frog discontinuous Galerkin timedomain method

Alvarez

Angulo

Bretones

et al. 2015

IEEE Antennas Propag. Mag.

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A n essential characteristic for the accurate simulation of wideband antenna systems is the modeling of their intricate geometrical details, including the feeding ports. In this article, we describe a leap-frog (LF) discontinuous Galerkin (DG) time-domain (TD) method combined with an efficient local time-stepping (LTS) strategy to deal with the high contrast in the element sizes for the electromagnetic modeling of these kinds of structures.The traditional delta-gap source model and a realistic coaxial port model are revisited. Numerical examples are presented and validated with measurements and commercial software simulations to demonstrate the applicability of the proposed approach.

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Source and Boundary Implementation in Vector and Scalar DGTD

Cited by 48 publications

References 17 publications

Waveport modeling for the DGTD simulation of electromagnetic devices

Waveport modeling for the DGTD simulation of electromagnetic devices

A Nodal Continuous-Discontinuous Galerkin Time-Domain Method for Maxwell's Equations

Efficient Antenna Modeling by DGTD: Leap-frog discontinuous Galerkin timedomain method

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