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Maxwell’s Equations: Continuous and Discrete

by R. Hiptmair

(Report number 2015-18)

Abstract
This is an introduction to the spatial Galerkin discretization of Maxwell's equations on bounded domains covering both modeling in the framework of exterior calculus, the construction of discrete differential forms, and a glimpse of a priori discretization error estimates. The presentation focuses on central ideas, skipping technical details for the sake of lucid presentation.

Keywords: Maxwell's equations; differential forms, Whitney forms, finite elements

@Techreport{H15_608,
  author = {R. Hiptmair},
  title = {Maxwell’s Equations: Continuous and Discrete},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2015-18},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2015/2015-18.pdf },
  year = {2015}
}

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