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The Steklov‐Poincaré technique for data completion: Preconditioning and filtering
Author(s) -
Ferrier Renaud,
Kadri Mohamed L.,
Gosselet Pierre
Publication year - 2018
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5924
Subject(s) - discretization , acceleration , identification (biology) , boundary (topology) , dual (grammatical number) , mathematics , boundary value problem , computer science , mathematical optimization , algorithm , mathematical analysis , physics , art , botany , literature , classical mechanics , biology
Summary This paper presents a study of primal and dual Steklov‐Poincaré approaches for the identification of unknown boundary conditions of elliptic problems. 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 postprocessing Ritz elements. Assessments are provided on a 3D mechanical problem.