How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian?
- 1 January 1999
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 15 (1) , 79-90
- https://doi.org/10.1088/0266-5611/15/1/012
Abstract
We exhibit new links between approximation theory in the complex domain and a family of inverse problems for the 2D Laplacian related to non-destructive testing.Keywords
This publication has 7 references indexed in Scilit:
- The Convergence of Padé Approximants to Functions with Branch PointsJournal of Approximation Theory, 1997
- Examples of instability in inverse boundary-value problemsInverse Problems, 1997
- Identification of planar cracks by complete overdetermined data: inversion formulaeInverse Problems, 1996
- Hardy Approximation to $L^$ Functions on Subsets of the CircleConstructive Approximation, 1996
- A Uniqueness Result Concerning the Identification of a Collection of Cracks from Finitely Many Electrostatic Boundary MeasurementsSIAM Journal on Mathematical Analysis, 1992
- Toeplitz matrix techniques and convergence of complex weight Padé approximantsJournal of Computational and Applied Mathematics, 1987
- ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEMMathematics of the USSR-Sbornik, 1971