Abstract
We study here some integral equations linked to the Laplace or the Helmholtz equation, or to the system of elasticity equations. These equations lead to non integrable kernels only defined as finite parts, so that they are quite difficult to approximate. In each case, we introduce a variational formulation which avoids this difficulty and allow us to use stable finite element approximations for these problems
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Nedelec, J.C. Integral equations with non integrable kernels. Integr equ oper theory 5, 562–572 (1982). https://doi.org/10.1007/BF01694054
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DOI: https://doi.org/10.1007/BF01694054