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Matthys Botha  

 

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Publications
Book Chapters
  1. J.-M. Jin and M. M. Botha, "Finite element analysis," in Encyclopedia of RF and Microwave Engineering (K. Chang, ed.), vol. 2, pp. 1589--1601, New York: Wiley, 2005.
Journals
  1. M. M. Botha and 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 Finite Elements Workshop for Microwave Engineering, Boston, USA, June 2000), vol. 22, pp. 393--404, July 2002.
  2. M. M. Botha and D. B. Davidson, "A posteriori error estimation results for the FEM analysis of a waveguide filter," SAIEE Transactions, vol. 94, no. 2, pp. 32--36, July 2003.
  3. M. M. Botha and D. B. Davidson, "A quasi-static condition for enhancing p-adaptive, mixed-order element, FE analysis", Electromagnetics (Special Issue on Finite Element Methods for Microwave Engineering), vol. 24, pp. 13--24, 2004.
  4. M. M. Botha and J.-M. Jin, "On the Variational Formulation of Hybrid Finite Element-Boundary Integral Techniques for Electromagnetic Analysis," IEEE Transactions on Antennas and Propagation, vol. 52, no. 11, pp. 3037--3047, November 2004.
  5. X. Wang, M. M. Botha and J.-M. Jin, "An Error Estimator for the Moment Method in Electromagnetic Scattering," Microwave and Optical Technology Letters, vol. 44, no. 4, pp. 320--326, February 2005.
  6. M. M. Botha and J.-M. Jin, "Adaptive Finite Element-Boundary Integral Analysis for Electromagnetic Fields in 3-D," IEEE Transactions on Antennas and Propagation, vol. 53, no. 5, pp. 1710--1720, May 2005.
  7. 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, pp. 3717--3725, May 2005.
  8. 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, pp. 255--258, January 2006.
  9. M. M. Botha and 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, no. 1, pp. 63--71, March 2006.
  10. M. M. Botha, "Solving the Volume Integral Equations of Electromagnetic Scattering," Journal of Computational Physics, vol. 218, issue 1, pp. 141--158, October 2006.
  11. M. M. Botha and D. B. Davidson, "Rigorous, auxiliary variable-based implementation of a second-order ABC for the vector FEM," IEEE Transactions on Antennas and Propagation, vol. 54, no. 11, pp. 3499--3504, November 2006.
  12. D. B. Davidson and M. M. Botha, "Evaluation of a Spherical PML for Vector FEM Applications," IEEE Transactions on Antennas and Propagation, vol. 55, no. 2, pp. 494--498, February 2007.
  13. M. M. Botha, "Fully hierarchical divergence-conforming basis functions on tetrahedral cells, with applications," International Journal for Numerical Methods in Engineering, vol. 71, issue 2, pp. 127--148, July 2007.
  14. R. G. Marchand, M. M. Botha and D. B. Davidson, ``Total- and scattered field decomposition for the vector Helmholtz equation, using the FETI," Electromagnetics, vol. 28, no. 1-2, pp. 77-91, January 2008.
  15. M. M. Botha, ``A family of augmented Duffy transformations for near-singularity cancellation quadrature," IEEE Transactions on Antennas and Propagation, vol. 61, no. 6, pp. 3123--3134, June 2013.
  16. M. M. Botha, ``Accuracy of Near-Singularity Cancellation Quadrature Schemes for the Dynamic MoM Kernel," IEEE Antennas and Wireless Propagation Letters, vol. 12, iss. 1, pp. 714--717, December 2013.
International Symposia
  1. M.M. Botha and D.B. Davidson, "Design of broadside, uniformly fed, planar aperture coupled microstrip patch arrays," in Proceedings of IEEE Africon'99, Cape Town, South Africa, September 1999, vol. 2, pp. 1021--1024.
  2. D.B. Davidson, F.J.C. Meyer, R.H. Geschke and M.M. Botha, "Integration of a Finite Element solver within the FEKO hybrid code suite," in Proceedings of AP2000, Davos, Switzerland, April 2000. Full paper on CD-ROM (4 pages).
  3. M.M. Botha and D.B. Davidson, "Modeling cavity backed antennas with the FEM," presented at the 5th Finite Elements Workshop for Microwave Engineering, Boston, USA, June 2000. Abstract only.
  4. M.M. Botha and D.B. Davidson, "Analyzing cavity backed, perforated substrate, microstrip patch antennas with a {FMM}, {FE-BI} hybrid formulation," in Proceedings of the 2001 URSI International Symposium on Electromagnetic Theory, Victoria, Canada, May 2001, pp. 627--629.
  5. M.M. Botha and D.B. Davidson, "Comparison of a posteriori error estimation results for FE analysis of waveguides and FE-BI analysis of cavity backed apertures," presented at the 6th International Workshop on Finite Elements for Microwave Engineering, Chios, Greece, May 2002. Abstract only. Page 9 in the book of abstracts.
  6. M.M. Botha and D.B. Davidson, "A posteriori error estimation results for the FEM analysis of a waveguide filter," in Proceedings of IEEE Africon'02, George, South Africa, October 2002, vol. 2, pp. 541--544.
  7. M.M. Botha and D.B. Davidson, "Comparison between two a posteriori error indicators for adaptive microwave FE analysis," in Proceedings of the 19th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, California USA, March 2003, pp. 228--233.
  8. M.M. Botha and D.B. Davidson, "P-adaptive FE-BI analysis of homogeneous, lossy regions for SAR- and far-field calculations," in Proceedings of IEEE AP-S International Symposium, Columbus, Ohio USA, June 2003, vol. 1, pp. 684--687.
  9. M.M. Botha and J.-M. Jin, "A Stationary FE-BI Formulation for 3D Electromagnetic Analysis," in Proceedings of IEEE AP-S International Symposium, Monterey, California USA, June 2004, vol. 4, pp. 3493--3496.
  10. M.M. Botha and J.-M. Jin, "A Posteriori Error Indicators for 3D Electromagnetic FE-BI Analysis," in Proceedings of IEEE AP-S International Symposium, Monterey, California USA, June 2004, vol. 4, pp. 3497--3500.
  11. X. Wang, M.M. Botha and J.-M. Jin, "A Simple Error Estimator for the Moment Method in Electromagnetic Scattering," in Proceedings of IEEE AP-S International Symposium, Monterey, California USA, June 2004, vol. 3, pp. 3385--3388.
  12. M.M. Botha, T. Rylander and J.-M. Jin, "A Numerical Investigation into the Accuracy of FE-BI and MoM for Canonical Structures," presented at the USNC/URSI National Radio Science Meeting, Monterey, California USA, June 2004. Abstract only.
  13. T. Rylander, M.M. Botha and J.-M. Jin, "Application of Preconditioned Iterative Solvers to the Time-Domain Finite Element Method," presented at the USNC/URSI National Radio Science Meeting, Monterey, California USA, June 2004. Abstract only.
  14. J.-M. Jin, D. Jiao, M.M. Botha, Y. Li, J. Liu, Z. Lou and T. Rylander, "Higher-Order Finite Element Solutions for 3D Wave Scattering," presented at the Progress in Electromagnetics Research Symposium, Nanjing, China, August 2004. Abstract only.
  15. M.M. Botha and D.B. Davidson, "Hierarchical divergence-conforming basis functions of arbitrary order on tetrahedrons," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Torino, Italy, September 2005, pp. 447--450.
  16. D.B.Davidson, M.M. Botha and N Marais, "Recent progress with vector elements for RF and microwave finite element applications," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Torino, Italy, September 2005, pp. 837--840.
  17. M.M. Botha and J.-M. Jin, "Adaptive analysis with a stationary FE-BI formulation," presented at the 8th International Workshop on Finite Elements for Microwave Engineering, Stellenbosch, South Africa, May 2006. Abstract only.
  18. M.M. Botha and D.B. Davidson, "Decomposition of the mixed first-order, divergence-conforming function space on a tetrahedral mesh," presented at the 8th International Workshop on Finite Elements for Microwave Engineering, Stellenbosch, South Africa, May 2006. Abstract only.
  19. M.M. Botha and T. Rylander, ``Numerical Evaluation of Near-Singular Integrals on Curvilinear Triangular Domains," in Proceedings of IEEE AP-S International Symposium, Honolulu, Hawaii USA, June 2007, pp. 4837--4840.
  20. M.M. Botha, ``The Electromagnetic, Volume Integral Equation Method of Moments, with Curl-Conforming Discretizations," in Proceedings of IEEE AP-S International Symposium, Honolulu, Hawaii USA, June 2007, pp. 5628--5631.
  21. M.M. Botha and T. Rylander, ``Error analysis of singularity cancellation quadrature on curvilinear triangles," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Torino, Italy, September 2007, 4 pages.
  22. D.B. Davidson, M.M. Botha and A. Young, ``Progress on radiation boundary conditions for electromagnetic finite element analysis," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Torino, Italy, September 2007, 4 pages.
  23. R. G. Marchand, M. M. Botha and D. B. Davidson, "Aspects of electromagnetic analysis with the FETI," presented at the 9th International Workshop on Finite Elements for Microwave Engineering, Bonn, Germany, May 2008. Abstract only.
  24. M. M. Botha, "Analysis and augmentation of the Duffy transformation for near-singular integrals," in Proceedings of IEEE AP-S International Symposium, Chicago, Illinois USA, July 2012, 2 pages.
  25. M. M. Botha, "Comments on the construction of near-singularity cancellation transformations for triangle domains," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Cape Town, South Africa, September 2012, 3 pages.
  26. M. M. Botha and W. J. Strydom, "Integrating the dynamic MoM kernel with near-singularity cancellation quadrature schemes," in Proceedings of IEEE Africon'13, Mauritius, September 2013, 3 pages.
  27. W. J. Strydom and M. M. Botha, "Investigating Antenna Radiation Properties with Characteristic Mode Analysis," in Proceedings of IEEE Africon'13, Mauritius, September 2013, 5 pages.
  28. M. M. Botha, "Comparison of near-singularity cancellation quadrature schemes for curvilinear triangle domains," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Torino, Italy, September 2013, 4 pages.
  29. M. M. Botha, "Progress with numerical integration of the near-singular Green function gradient on general triangle domains," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Aruba, Dutch Antilles, August 2014, 4 pages.
  30. D. P. Xiang and M. M. Botha, "Aspects of efficient shadowing calculation for physical optics analysis of meshed objects," in Proceedings of the International Conference on Electromagnetics in Advanced Applications, Aruba, Dutch Antilles, August 2014, 4 pages.

Last update: 2014-08-19. MMB.