Mathematical Foundations of Computational Electromagnetism

  title={Mathematical Foundations of Computational Electromagnetism},
  author={Franck Assous and Patrick Ciarlet and Simon Labrunie},
mathematical framework We first introduce basic notions on Banach and Hilbert spaces. Afterwards, we recall some well-known results, which help prove the well-posedness of the various sets of equations we study throughout this book. Unless otherwise specified, the proofs of these classic results can be found in [158, 209, 63, 93]. By well-posedness, it is usually understood that the problem admits one, and only one, solution, which depends continuously on the data. In the case of linear… 
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