Approximation of the elastic Dirichlet-to-Neumann map
Georgi Vodev, Université de Nantes, Laboratoire de Mathématiques Jean Leray, 2 rue de la Houssinière, BP 92208, 44322 Nantes Cedex 03, France · Inverse Problems and Imaging · 2022
We study the Dirichlet-to-Neumann map for the stationary linear equation of elasticity in a bounded domain in $ \mathbb{R}^d $, $ d\ge 2 $, with smooth boundary. We show that it can be approximated by a pseudodifferential operator on the boundary with a matrix-valued symbol and we compute the principal symbol modulo conjugation by unitary matrices.