Name
Title | ||
|---|---|---|
High Precision Identification of an Object: Optimality-Conditions-Based Concept of Imaging. |
Abstract | ||
|---|---|---|
A class of inverse problems for the identification of an unknown geometric object from given measurements is considered. A concept for object imaging based on optimality conditions and level sets is introduced which provides high resolution properties of the identification problem and stability to discretization and noise errors. As a specific case, the identification of the center of a test object of arbitrary shape and unknown boundary conditions from d boundary measurements in d spatial dimensions in the context of the Helmholtz equation is described in detail. For analysis and numerical realization, methods from topology optimization, generalized singular perturbations endowed with variational techniques, and a Petrov-Galerkin enrichment within generalized FEM are used. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1137/13091172X | SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Keywords | Field | DocType |
inverse problem,object identification,topology optimization,singular perturbation,variational methods,optimality condition,level sets | Boundary value problem,Discretization,Mathematical optimization,Mathematical analysis,Finite element method,Singular perturbation,Helmholtz equation,Topology optimization,Inverse problem,Mathematics,Parameter identification problem | Journal |
Volume | Issue | ISSN |
52 | 1 | 0363-0129 |
Citations | PageRank | References |
0 | 0.34 | 13 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Victor A. Kovtunenko | 1 | 4 | 1.82 |
| Karl Kunisch | 2 | 1370 | 145.58 |