Nonsmooth defect identification and approximation

DOI10.1016/j.crma.2005.02.011zbMath1068.65130OpenAlexW2054507253MaRDI QIDQ1776846

Dorin Bucur, Zakaria Belhachmi

Publication date: 12 May 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.02.011

zbMATH Keywords

stabilityinverse problemfinite element methodconductivityLaplace equationWiener regularityboundary measurementsnon-smooth defects

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for integral equations (65R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Cites Work

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• Finite element approximation on elliptic singular optimal design.
• A Duality Approach for the Boundary Variation of Neumann Problems
• Unique Determination of Multiple Cracks by Two Measurements
• Unique Determination of a Collection of a Finite Number of Cracks from Two Boundary Measurements
• Optimal Stability of Reconstruction of Plane Lipschitz Cracks
• Stability and Uniqueness for the Crack Identification Problem

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