zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Approximation of the inverse electrical impedance tomography problem by an inverse transmission problem. (English) Zbl 0992.78020
Summary: The inverse problem in electrical impedance tomography (EIT) is severely ill-posed. Therefore, it is desirable to include any available a priori information in a numerical algorithm for its solution. If the conductivity inside the object is known to be piecewise constant this information can be directly incorporated in the algorithm by using boundary integral methods for the computation of the forward map. In this paper we describe an implementation of this idea and compare the results with standard methods using both synthetic and measured data from the clinical applications of EIT.
78A46Inverse scattering problems
92C55Biomedical imaging and signal processing, tomography
35R30Inverse problems for PDE
78M25Numerical methods in optics
44A12Radon transform