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)
Numerical implementation of two noniterative methods for locating inclusions by impedance tomography. (English) Zbl 0955.35076
Summary: Electrical impedance tomography is applied to recover inclusions within a body from electrostatic measurements on the surface of the body. Here, an inclusion is defined to be a region where the electrical conductivity differs significantly from the background. Recently, theoretical foundations have been developed for new techniques to localize inclusions from impedance tomography data. In this paper it is shown that these theoretical results lead quite naturally to noniterative numerical reconstruction algorithms. The algorithms are applied to a number of test cases to compare their performance.

35R30Inverse problems for PDE
65N21Inverse problems (BVP of PDE, numerical methods)
35J05Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation
35R05PDEs with discontinuous coefficients or data