Maxwell’s Equations: Continuous and Discrete

  • Ralf HiptmairEmail author
Part of the Lecture Notes in Mathematics book series (LNM, volume 2148)


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.


Exterior Derivative Helmholtz Decomposition Impedance Boundary Condition Galerkin Discretization Shape Regularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsETH ZürichZürichSwitzerland

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