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Recent conference and journal publications produced by the group is listed below in reverse chronological order.

Books

• D.B. Davidson, Computational Electromagnetics for RF and Microwave Engineering, 2nd edition, Cambridge University Press, October 2010.

Journal papers

• E. Lezar and D.B. Davidson, GPU-Accelerated Method of Moments by Example: Monostatic Scattering, Antennas and Propagation Magazine, IEEE, volume 52, issue 6, December 2010, p. 120-135.
• E. Lezar and D.B. Davidson, GPU-Based LU Decomposition for Large Method of Moments Problems, Electronics Letters, volume 46, issue 17, 19 August 2010, p. 1194--1196.
• N. Marais, D.B. Davidson, Efficient high-order time domain hybrid implicit/explicit FEM Methods for Microwave Electromagnetics, Electromagnetics, Vol 30, Number 1-2, January 2010, pp. 127--148.
• N. Marais, D.B. Davidson, Numerical Evaluation of High Order Finite Element Time Domain Formulations in Electromagnetics, IEEE Transactions on Antennas and Propagation, Vol 56, Number 12, December 2008, pp. 3743--3751.
• N. Marais, D.B. Davidson, Conforming Arbitrary Order Hexahedral/Tetrahedral Hybrid Discretisation, IET Electronics Letters, Vol 44, Number 24, 20 November 2008, pp. 1384--1385.
• N.Marais, Driving and Extending Legacy Codes using Python - [EM Programmer’s Notebook], IEEE Antennas and Propagation Magazine, Vol 49, Number 1, February 2007, pp. 140--148.
• M.M.Botha, D.B.Davidson, Investigation of an explicit, residual-based, a posteriori error indicator for the adaptive Finite Element analysis of waveguide structures, Applied Computational Electromagnetics Society Journal, Vol 21, Number 1, March 2006, p.63--71.
• N. Marais, D.B. Davidson, Numerical Evaluation of Hierarchical Vector Finite Elements on Curvilinear Domains in 2-D, IEEE Transactions on Antennas and Propagation, Vol 54, Number 2, February 2006, pp. 734--738.
• M. M. Botha and D. B. Davidson, The Implicit, Element Residual Method for a Posteriori Error Estimation in FE-BI Analysis, IEEE Transactions on Antennas and Propagation, vol. 54, no. 1, January 2006, pp. 255--258.
• M. M. Botha and D. B. Davidson, An Explicit a Posteriori Error Indicator for Electromagnetic, Finite Element-Boundary Integral Analysis, IEEE Transactions on Antennas and Propagation, vol. 53, no. 11, May 2005, pp. 3717--3725.
• D.B.Davidson, J.T.Aberle, An introduction to spectral domain Method of Moments formulations, IEEE Antennas and Propagation Magazine, Vol 46, No 3, July 2004, pp. 11-19.
• M.M.Botha, D.B.Davidson, A quasi-static condition for enhancing p-adaptive, mixed-order element, FE analysis, Electromagnetics (Special Issue: Finite Element Methods for Microwave Engineering, Chios, Greece), Vol 24, Number 1--2, January--March 2004, pp. 13--24.
• D.B.Davidson, An evaluation of mixed-order versus full-order vector finite elements, IEEE Transactions on Antennas and Propagation, Vol 51, Number 9, September 2003, pp. 2430--2441.
• F.J.C.Meyer, D.B.Davidson, U.Jakobus, M.A.Stuchly, Human exposure assessment in the near field of GSM base-station antennas using a hybrid finite element / method of moments technique, IEEE Transactions on Biomedical Engineering, Vol 50, Number 2, February 2003, pp. 224--233.
• M.M.Botha, D.B.Davidson, Application of the Fast Multipole Method to the FE-BI analysis of cavity backed structures with comprehensive FMM error control, Electromagnetics (Special Issue: Selected papers from the 5th International Workshop on Finite Element Methods for Microwave Engineering, Boston 2000), Vol 22, Number 5, Part II, July 2002, pp. 405--417.
• M.Bingle, D.B.Davidson, J.H.Cloete, Scattering and absorption in rectangular waveguides: FDTD simulation, IEEE Trans. Microwave Theory and Techniques, Vol 50, Number 6, June 2002, pp. 1621--1627.
• D.B.Davidson, Higher-order (LT/QN) vector finite elements for waveguide analysis, Applied Computational Electromagnetics Society Journal (Special Issue on Approaches to Better Accuracy/Resolution in Computational Electromagnetics), Vol. 17 No 1, March 2002, pp. 1-10.
• J.H.Cloete, M.Bingle, D.B.Davidson, The Role of Chirality and Resonance in Synthetic Microwave Absorbers, Int. J. Electron. Comm. (AEU) (Special issue: Bianisotropics 2000), Vol 55, No 4, July/August 2001, pp. 233-239.
• D.B.Davidson, Implementation issues for 3D vector FEM programs, IEEE Antennas and Propagation Society Magazine, Vol 42, No 6, December 2000, pp.100-107.
• I.P. Theron, D.B. Davidson, U. Jakobus, Extensions to the hybrid method of moments / uniform GTD formulation for sources located close to a smooth convex surface, IEEE Trans. Antennas and Propagation, Vol 48, No 6, June 2000, pp. 940--946.
• D.B.Davidson, S.Keunecke, Hybrid techniques using the MOM and PO/UTD: a tutorial overview, Transactions of the SAIEE, June 1999, pp.69-82. Vol. 90 No. 2.
• D.B.Davidson, H.d.T. Mouton, Validation of, and limitations on, the use of NEC-4 for radiation from antennas buried within a homogeneous half-space, Applied Computational Electromagnetics Society Journal, Vol 13 No 3, November 1998, pp. 302-309.
• D.B.Davidson, Comments on and extensions of 'A note on the application of edge-elements for modeling three-dmensional inhomogeneously-filled cavities' , IEEE Trans. Microwave Theory and Techniques, Vol 46, No 9, September 1998, pp.1344--1345.

International conferences

• E. Lezar and D.B. Davidson, GPU Acceleration of Electromagnetic Scattering Analysis Using the Method of Moments, Proceedings of the 13th International Conference on Electromagnetics in Advanced Applications - ICEAA'11, Accepted for publication, Torino, Italy, September 2011.
• N. Marais and D.B. Davidson, A Comparison of Some Finite Element Time Domain Formulations in Electromagnetics, 13th International Conference on Electromagnetics in Advanced Applications ICEAA’11, September 2011, (Accepted, not yet printed).
• N. Marais and D.B. Davidson, Efficient High-Order Implicit/Explicit Hybrid FETD Methods for Microwave Electromagnetics, 10th International Workshop on Finite Elements for Microwave Engineering, Meredith Falls, New Hampshire, USA, October 2010, (Abstract only).
• E. Lezar and D.B. Davidson, GPU Acceleration of Method of Moments Matrix Assembly using Rao-Wilton-Glisson Basis Functions, Proceedings of the 2010 International Conference on Electronics and Information Engineering - ICEIE 2010, volume 1, pages 56—60, Kyoto, Japan, August 2010.
• E. Lezar and D.B. Davidson, GPU-based Arnoldi Factorisation for Accelerating Finite Element Eigenanalysis, Proceedings of the 11th International Conference on Electromagnetics in Advanced Applications - ICEAA'09, pages 380—383, Torino, Italy, September 2009.
• N. Marais and D.B. Davidson, Validating a high-order time domain hybrid implicit/explicit FEM implementation, 11th International Conference on Electromagnetics in Advanced Applications ICEAA’09, September 2009, 331--334.
• D.B. Davidson and N. Marais, Finite Element Modelling of Electromagnetic Fields in the Time Domain, African Conference on Computational Mechanics, Sun City, South Africa, Jan 2009, 8 (Keynote talk, abstract only).
• E. Lezar and D.B. Davidson, Accelerating Electromagnetic Field Calculations for Antenna Simulations Using Commodity Graphics Processing Units: A Feasibility Study, 1st African Conference on Computational Mechanics - AfriComp’09, Sun City, South Africa, January 2009.
• N. Marais and D.B. Davidson, Implicit/Explicit Time Domain Hybrid FEM Methods for Microwave Electromagnetics, 9th International Workshop on Finite Elements for Microwave Engineering, Bonn, Germany, May 2008, 8 (Abstract only).
• N. Marais and D.B. Davidson, A Comparison of Some Finite Element Time Domain Formulations in Electromagnetics, 10th International Conference on Electromagnetics in Advanced Applications ICEAA’07, September 2007, 814--817.
• E. Lezar and D.B. Davidson, Implementation of Arbitrarily High Order Hierarchical Vector Basis Functions for the Finite Element Analysis of a Rectangular Waveguide, 8th IEEE AFRICON Conference - AFRICON'07, Windhoek, Namibia, September 2007.
• N. Marais and D.B. Davidson, Comparison of Time Domain FEM Formulations, 8th International Workshop on Finite Elements for Microwave Engineering, Stellenbosch, South Africa, May 2006, (Abstract only).
• N. Marais and D.B. Davidson, Driving and Extending Legacy Codes using Python, Applied Computational Electromagnetics Society (ACES) conference, Miami, USA, March 2006.
• J.P. Swartz and D.B. Davidson, Curvilinear Vector Finite Elements using Hierarchical Basis Functions, Applied Computational Electromagnetics Society (ACES) conference, Miami, USA, March 2006.
• D.B.Davidson, M.M. Botha, N Marais, Recent progress with vector elements for RF and microwave finite element applications, Proceedings of Joint 9th International Conference on Electromagnetics in Advanced Applications ICEAA'05 and the 11th European Electromagnetics Structures Conference EESC'05, Torino, Italy, Sept. 2005, pp. 837-840. (Invited paper.).
• M.M. Botha, D.B.Davidson, Hierarchical divergence-conforming basis functions of arbitrary order on tetrahedrons, Proceedings of Joint 9th International Conference on Electromagnetics in Advanced Applications ICEAA'05 and the 11th European Electromagnetics Structures Conference EESC'05, Torino, Italy, Sept. 2005, pp. 447-450.
• D.B.Davidson, A review of important recent developments in full-wave CEM for RF and microwave engineering, ICCEA2004, 3rd International Conference on Computational Electromagnetics and its Applications, Beijing, China, November 2004, pp. PS1-PS4.
• N. Marais and D.B. Davidson, Higher order vector bases and curved geometries in FEM: a numerical study, 7th Finite Elements Workshop for Microwave Engineering, Madrid, Spain, May 2004, (Abstract only).
• M.J.van Wyk, M. Bingle, F.J.C.Meyer, U.Jakobus, D.B.Davidson, Accurate human exposure assessment from base station antennas using the hybrid finite element / method of moments technique, 7th Finite Elements Workshop for Microwave Engineering, Madrid, Spain, May 2004., (Abstract only).
• U.Jakobus, F.J.C.Meyer, M.Bingle, D.B.Davidson, Combination of MoM and FEM for the Solution of Bioelectromagnetic Problems, INICA 2003, International ITG-Conference on Antennas, Berlin, Germany, September 2003, pp. 241--244.
• M.M.Botha, D.B.Davidson, P-adaptive FE-BI analysis of homogeneous, lossy regions for SAR- and far-field calculations, paper presented at the 2003 IEEE AP-S International Symposium, Columbus, Ohio, USA, June 2003, pp.684--687, Vol. 1.
• M.M.Botha, D.B.Davidson, Comparison between two a posteriori error indicators for adaptive microwave FE analysis, paper presented at the 19th Annual Review of Progress in Computational Electromagnetics, Naval Postgraduate School, Monterey, March 2003, CA.
• S.R.Clarke, D.B.Davidson, Finite element analysis of a waveguide filter, AFRICON-02, George, South Africa, October 2002, pp. 563--566.
• R.H.Geschke, R.L.Ferrari, D.B.Davidson. P.Meyer, Application of extended Huygens' principle to scattering discontintuities in waveguide, AFRICON-02, George, South Africa, October 2002, pp. 555--558.
• M.M.Botha, D.B.Davidson, A posteriori error estimates for the FEM analysis of a waveguide filter, AFRICON-02, George, South Africa, October 2002, pp. 541--544.
• D.B.Davidson, Waveguide analysis using higher-order vector finite elements, 6th Finite Elements Workshop for Microwave Engineering, Chios, Greece, May 2002, pg. 18. (Abstract only).
• M.M.Botha, D.B.Davidson, Comparison of a posteriori error estimatation results for FE analyis of waveguides and FE-BI analysis of cavity backed apertures, 6th Finite Elements Workshop for Microwave Engineering, Chios, Greece, May 2002, pg. 9. (Abstract only).
• F.J.C.Meyer, D.B.Davidson, U.Jakobus, Application of the hybrid Finite Element/Method of Moments technique to antenna/human interaction problems, 6th Finite Elements Workshop for Microwave Engineering, Chios, Greece, May 2002, p. 17. (Abstract only).
• M.M.Botha, D.B.Davidson, Analyzing cavity backed, perforated substrate, microstrip patch antennas with a FMM, FE-BI hybrid formulation, Proceedings of the 2001 URSI International Symposium on Electromagnetic Theory, Victoria, BC, Canada, May 2001, pp. 627--629.
• D.B.Davidson, LT/QN Vector Finite Elements for 3D Waveguide Analysis, paper presented at 17th Annual Review of Progress in Computational Electromagnetics, Naval Postgraduate School, Monterey, CA, March 2001, p.323-329 of Proceedings.
• J.H.Cloete, M.Bingle, D.B.Davidson, Scattering and absorption by thin metal wires in rectangular waveguide - chiral cranks versus non-chiral staples, Bianistropics 2000 (8th Conference on Electromagnetics of Complex Media), Lisbon, Portugal, September 2000, p.353-358 of Proceedings.
• M.M.Botha, D.B.Davidson, Modelling cavity-backed patch antennas with the FEM, 5th Finite Elements Workshop for Microwave Engineering, Boston, USA, 8--9 June 2000, Abstract only.
• D.B.Davidson, F.J.C.Meyer, R.H. Geschke, Integration of an FEM solver within the FEKO computational EM code suite, AP 2000: Millenium Conference on Antennas and Propagation, Davos, Switzerland, April 2000, p. 451 Vol. 1. (Full paper on CD-ROM).
• M.Bingle, J.H.Cloete, D.B.Davidson, FDTD simulation of scattering by conducting wires in rectangular waveguide, (invited) paper, AP 2000: Millenium Conference on Antennas and Propagation, Davos, Switzerland, April 2000, p. 92 Vol 1. (Full paper on CD-ROM).
• D.B. Davidson, R.H. Hansmann, F.J.C.Meyer, Vector Based Higher-Order 3D Finite Element Simulation of Microwave Cavities, proceedings of IEEE AFRICON'99 symposium, Cape Town, Vol. 2, September/October 1999, pp. 1053--1058.
• J.H.Cloete, M.Bingle, D.B.Davidson, The role of chirality in synthetic microwave absorbers, (invited paper), International Conference on Electromagnetics in Advanced Applications, to be held in Torino, Italy, Sep. 1999, pp. 55-58 of Proceedings.
• W.R. van der Leij, D.B.Davidson, D.M.Weber, Synthesizing GPR returns using Body of Revolution FD-TD method: initial results, proceedings of IEEE AFRICON'99 symposium, Cape Town, Vol. 2, September/October 1999, pp. 1059--1064.
• M. M\"uller, I.P.Theron, D.B. Davidson, Improving the bandwidth of a slotted waveguide array by using a centre-feed configuration, proceedings of the IEEE AFRICON'99 symposium, Cape Town, South Africa, September/October 1999, pp. 1075--1080, Vol. 2.
• M.Botha, D.B.Davidson, Design of broadside, uniformly fed, planar aperture coupled microstrip patch arrays, proceedings of the IEEE AFRICON'99 symposium, Cape Town, September/October 1999, pp. 1021--1024, Vol. 2.
• M.Bingle, J.H.Cloete, D.B.Davidson, `, Chirality: not a geometrical requirement for enchanced microwave absorption, XXVI-th General Assembly of URSI, Toronto, Canada, August 1999, p. 187 of Proceedings.
• D.B. Davidson, R.H. Hansmann, Hierarchal 2D and 3D vector finitse elements for electromagnetic wave eigenvalue problems, 15th Annual Review of Progress in Computational Electromagnetics, to be held at the Naval Postgraduate School, Monterey, CA, 15--19 March 1999, pp. 518--523 of Proceedings.
• I.P.Theron,U. Jakobus, D.B.Davidson, F.J.C.Meyer, Recent progress on moment ethod/UTD hybridization, paper presented at the Progress in Electromagnetics esearch Symposium (PIERS) 98, Nantes, France, July 1998, p. 459 of Proceedings Vol 1.
• M.Bingle, J.H.Cloete, D.B.Davidson, P. Meyer, Microwave absorption by chiral, acemic and nonchiral hooks, paper presented at Bianistropics '98: 7th Intl. Conference on Complex Media, Braunschweig, Germany, June 1998, pp.321-324 of Proceedings.
• I.P.Theron, D.B.Davidson, U. Jakobus, Hybridization of the method of moments with UTD treatment of a conducting cylinder, paper presented at the 8th Biennial onference on Electromagnetic Field Computation, Tuscon, Arizona, June 1998, pp. 107 of Proceedings.
• M.Bingle, J.H.Cloete, D.B.Davidson, P. Meyer, Microwave scattering by chiral, onchiral and racemic wire cranks: the role of chirality in absorbing materials, paper resented at the URSI 1998 International Symposium on Electromagnetic Theory, hessalonika, May 1998, Greece.

National conferences

• E. Lezar and D.B. Davidson, GPU-Assisted ARPACK: Towards GPU-Accelerated Finite Element Waveguide Analysis, CHPC National Meeting and 5th BELIEF Symposium, Sandton, South Africa, December 2009.
• D.B. Davidson and N. Marais, Time domain analysis of EM fields using FEM and FDTD, The 2009 South African IEEE AP/MTT Conference, March 2009, (Invited paper, abstract only).
• N. Marais and D.B. Davidson, Object Oriented Extension of Legacy Numerical Software with Python, CHPC National Meeting and 5th BELIEF Symposium, Sandton, South Africa, April 2006, (Abstract only).
• R.H. Geschke, R.L. Ferrari, D.B.Davidson, P.Meyer, The solution of waveguide scattering problems by application of an extended Huygens principle, paper presented at the 2005 South African IEEE AP/MTT. Stellenbosch, March 2005., Abstract only.
• M.M. Botha, D.B.Davidson, Aspects of finite element analysis for electromagnetic field modelling, paper presented at the 2005 South African IEEE AP/MTT. Stellenbosch, March 2005., Abstract only.
• D.B.Davidson, A new text on computational electromagnetics for RF and microwave engineering, paper presented at the 2005 South African IEEE AP/MTT. Stellenbosch, March 2005., Abstract only.
• E.H. Burger, D.B.Davidson, Modeling borehole antennas using the FDTD method, paper presented at SATCAM 2000, Somerset West, South Africa, 2000.
• M.M. Botha, D.B.Davidson, Analyzing cavity-backed antennas using the hybrid FEM/MoM technique, paper presented at SATCAM 2000, Somerset West, South Africa, 2000.
• W.R. van der Leij, D.B.Davidson, D.M.Weber, Body of revolution finite difference time domain method for land-mine detection, paper presented at the 9th Annual South African Workshop on Pattern Recognition, held at Univ. Stellenbosch, November 1998, pp.134-137 of Proceedings.
• R.H.Hansmann, D.B.Davidson, Two dimensional edge-based finite elements for guided and scattered wave problems, paper presented at COMSIG'98 (incorporating AP/MTT'98), held at Univ. Cape Town, September 1998, pp. 415-418.
• D.B.Davidson, I.P.Theron, U. Jakobus, F.M. Landstorfer, F.J.C.Meyer, J.Mostert and J.J.van Tonder, Recent progress on the antenna simulation program FEKO, paper presented at COMSIG'98 (incorporating AP/MTT'98), held at Univ. Cape Town, September 1998, pp. 427--430.
• M. Bingle, J.H.Cloete, D.B.Davidson, Microwave absorption by chiral, ceramic and non-chiral unit cells: the role of chirality in absorbing materials, paper presented at COMSIG'98 (incorporating AP/MTT'98), held at Univ. Cape Town, September 1998, pp. 441--444.
• K.Williams, H.C.Reader, D.B.Davidson, An overview of the modelling of an active microstrip patch array, paper presented at COMSIG'98 (incorporating AP/MTT'98), held at Univ. Cape Town, September 1998, pp.373--377.