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- Title
The Steklov‐Poincaré technique for data completion: Preconditioning and filtering.
- Authors
Ferrier, Renaud; Kadri, Mohamed L.; Gosselet, Pierre
- Abstract
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.
- Subjects
NUMERICAL solutions to elliptic equations; BOUNDARY value problems; BOUNDARY element methods; NUMERICAL analysis; MECHANICAL engineering problems &; exercises
- Publication
International Journal for Numerical Methods in Engineering, 2018, Vol 116, Issue 4, p270
- ISSN
0029-5981
- Publication type
Article
- DOI
10.1002/nme.5924