Search Results - "Davidson, D.B."

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  1. 1

    Numerical Evaluation of High-Order Finite Element Time Domain Formulations in Electromagnetics by Marais, N., Davidson, D.B.

    “…This paper compares three full-wave finite-element time-domain (FETD) formulations. The first is based on the vector wave equation; the others on Maxwell's…”
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    Journal Article
  2. 2

    Rigorous, Auxiliary Variable-Based Implementation of a Second-Order ABC for the Vector FEM by Botha, M.M., Davidson, D.B.

    “…The finite element method (FEM) is commonly used for electromagnetic radiation and scattering analysis. When an infinite, free space exterior domain needs to…”
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    Journal Article
  3. 3

    Numerical evaluation of hierarchical vector finite elements on curvilinear domains in 2-D by Marais, N., Davidson, D.B.

    “…When using the finite element method, computational efficiency may be improved by using higher order elements. Typical 2-D triangular rectilinear elements…”
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    Journal Article
  4. 4

    Human exposure assessment in the near field of GSM base-station antennas using a hybrid finite element/method of moments technique by Meyer, F.J.C., Davidson, D.B., Jakobus, U., Stuchly, M.A.

    “…A hybrid finite-element method (FEM)/method of moments (MoM) technique is employed for specific absorption rate (SAR) calculations in a human phantom in the…”
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    Journal Article
  5. 5

    An explicit a posteriori error indicator for electromagnetic, finite element-boundary integral analysis by Botha, M.M., Davidson, D.B.

    “…Within the finite element method (FEM), there is always an error associated with the solution. Quantifying this error is a very important aspect of FE…”
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    Journal Article
  6. 6

    An evaluation of mixed-order versus full-order vector finite elements by Davidson, D.B.

    “…Recently proposed vector finite elements are compared to previously published elements, and independently implemented and validated in the context of…”
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    Journal Article
  7. 7

    The Solution of Waveguide Scattering Problems by Application of an Extended Huygens Formulation by Geschke, R.H., Ferrari, R.L., Davidson, D.B., Meyer, P.

    “…The implementation of a recent new hybrid integral-equation/vector finite-element method formulation applicable to inhomogeneous obstacle scattering in hollow…”
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    Journal Article
  8. 8

    The implicit, element residual method for a posteriori error estimation in FE-BI analysis by Botha, M.M., Davidson, D.B.

    “…Hybrid finite element-boundary integral (FE-BI) formulations are widely used for electromagnetic analysis. In such analysis, estimation of the mesh-wide error…”
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    Journal Article
  9. 9

    Scattering and absorption by thin metal wires in rectangular waveguide-FDTD simulation and physical experiments by Bingle, M., Davidson, D.B., Cloete, J.H.

    “…The high-frequency internal impedance model of a round ohmic conductor is incorporated into the subcell thin-wire formulation of the finite-difference…”
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    Journal Article
  10. 10

    Extensions to the hybrid method of moments/uniform GTD formulation for sources located close to a smooth convex surface by Theron, I.P., Davidson, D.B., Jakobus, U.

    “…We present an extension to the uniform geometrical theory of diffraction (GTD) for reflection from smooth curved surfaces. This approach allows the source to…”
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    Journal Article
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    Curvilinear Vector Finite Elements Using a Set of Hierarchical Basis Functions by Swartz, J.P., Davidson, D.B.

    “…Curvilinear finite elements are developed employing a second order geometrical mapping and implemented for a set of hierarchical vector basis functions of up…”
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    Journal Article
  14. 14

    Evaluation of a Spherical PML for Vector FEM Applications by Davidson, D.B., Botha, M.M.

    “…The implementation and evaluation of a spherical perfectly matched layer (PML) within a Cartesian finite element method context using standard curl-conforming…”
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    Journal Article
  15. 15

    Comments on and extensions of "A note on the application of edge-elements for modeling three-dimensional inhomogeneously-filled cavities" by Davidson, D.B.

    “…For the original paper see ibid., vol. 40, no. 9, p. 1767-1773 (1992). Some comments are made on the aforementioned paper and a typographical error is…”
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    Journal Article
  16. 16

    Implementation issues for three-dimensional vector FEM programs by Davidson, D.B.

    Published in IEEE antennas & propagation magazine (01-12-2000)
    “…Theoretical and practical issues that impact on the development of (especially) three-dimensional vector finite-element (FEM) programs are discussed. The…”
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    Magazine Article
  17. 17

    An introduction to spectral domain method-of-moments formulations by Davidson, D.B., Aberle, J.T.

    Published in IEEE antennas & propagation magazine (01-06-2004)
    “…The capacitance per unit length of a microstrip transmission line is obtained using a spectral-domain method-of-moments (MoM) formulation. The paper emphasizes…”
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    Magazine Article
  18. 18

    GPU-based Arnoldi factorisation for accelerating finite element eigenanalysis by Lezar, E., Davidson, D.B.

    “…We present a GPU-accelerated implementation of the k-step Arnoldi factorisation that forms the basis of a number of iterative eigenvalue system solvers. These…”
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    Conference Proceeding
  19. 19

    Validating a high-order time domain hybrid implicit/explicit FEM implementation by Marais, N., Davidson, D.B.

    “…This paper discusses aspects of the verification and validation of a high-order time domain hybrid implicit/explicit FEM scheme, which also incorporates hybrid…”
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    Conference Proceeding
  20. 20

    Parallel computing by Davidson, D.B.

    Published in IEEE potentials (01-04-1995)
    “…Parallel processing is the harnessing of multiple processors to work on the same problem. The aim is to speed up the computational process, ideally by the…”
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    Journal Article