Stecklov-Poincaré algorithm for the Cauchy problem : regularization by spectral analysis
Résumé
We propose a study of primal and dual Steklov-Poincaré approaches for the data completion problem in linear elasticity. After giving elementary properties of the discretized operators, we investigate the numerical solution with Krylov solvers. Different preconditioning and acceleration strategies are evaluated. We show that costless filtering of the solution is possible by post-processing Ritz elements. Assessments are provided on a 3D mechanical problem.