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Communication Dans Un Congrès Année : 2018

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.
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Dates et versions

hal-01896998 , version 1 (16-10-2018)

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  • HAL Id : hal-01896998 , version 1

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Renaud Ferrier, Mohamed Larbi Kadri, Pierre Gosselet. Stecklov-Poincaré algorithm for the Cauchy problem : regularization by spectral analysis. PICOF'18 Inverse Problems, Control and Shape Optimization, Jun 2018, Beyrouth, Lebanon. ⟨hal-01896998⟩
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