Abstract
This chapter is the double layer counterpart of Chapter 7 We will start by studying
We will next focus on the semidiscrete inversion of the operator \(\varphi \mapsto \mathcal{W}{\ast}\varphi\), namely, given a closed subspace \(Y _{h} \subset H^{1/2}(\Gamma )\) we will look for the causal solution \(\varphi ^{h}\) of
and input it in a double potential representation
This process was studied in the Laplace domain in Sections 5.5 and 5.6
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Sayas, FJ. (2016). Time domain analysis of the double layer potential. In: Retarded Potentials and Time Domain Boundary Integral Equations. Springer Series in Computational Mathematics, vol 50. Springer, Cham. https://doi.org/10.1007/978-3-319-26645-9_8
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DOI: https://doi.org/10.1007/978-3-319-26645-9_8
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