Abstract
A new general method of computational electromagnetism based on extremizing the electromagnetic action using the geometric algebra of space-time is described. Special cases include a boundary element method and a finite element method. These methods are derived and discussed, computational examples given, and compared with some well known methods of computational electromagnetism.
Similar content being viewed by others
References
Davidson D.: Computational Electromagnetics for RF and Microwave Engineering, 2nd edn. Cambridge University Press, New York (2011)
Doran C., Lasenby A.: Geometric Algebra for Physicists. Cambridge University Press, New York (2003)
Harrington R.: Field Computation by Moment Methods. Macmillan, New York (1968)
Hestenes D.: Space-Time Algebra. Gordon and Breach, New York (1966)
Jin J.: The Finite Element Method in Electromagnetics. Wiley, New York (2002)
Prautzsch H., Boehm W., Paluszny M.: Bezier and B-Spline Techniques. Springer, New York (2002)
Vold, T.: Computing Electromagnetic Fields by the Method of Least Action. Adv. Appl. Clifford Algebra (2014). doi:10.1007/s00006-013-0417-1
Weinstock R.: Calculus of Variations. Dover, New York (1974)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Vold, T.G. Computational Electromagnetism by the Method of Least Action. Adv. Appl. Clifford Algebras 27, 805–828 (2017). https://doi.org/10.1007/s00006-016-0681-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00006-016-0681-y