Reconstructing discontinuities using complex geometrical optics solutions

Gunther Uhlmannt; Jenn Nan Wang

doi:10.1137/060676350

Reconstructing discontinuities using complex geometrical optics solutions

Gunther Uhlmannt^*, Jenn Nan Wang

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

37 Citations (Scopus)

Abstract

In this paper we provide a framework for constructing general complex geometrical optics solutions for several systems of two variables that can be reduced to a system with the Laplacian as the leading order term. We apply these special solutions to the problem of reconstructing inclusions inside a domain filled with known conductivity from local boundary measurements. Computational results demonstrate the versatility of these solutions to determine electrical inclusions.

Original language	English
Pages (from-to)	1026-1044
Number of pages	19
Journal	SIAM Journal on Applied Mathematics
Volume	68
Issue number	4
DOIs	https://doi.org/10.1137/060676350
Publication status	Published - 2008
Externally published	Yes

Keywords

Geometrical optics
Inclusions
Numerical algorithm

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10.1137/060676350

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title = "Reconstructing discontinuities using complex geometrical optics solutions",

abstract = "In this paper we provide a framework for constructing general complex geometrical optics solutions for several systems of two variables that can be reduced to a system with the Laplacian as the leading order term. We apply these special solutions to the problem of reconstructing inclusions inside a domain filled with known conductivity from local boundary measurements. Computational results demonstrate the versatility of these solutions to determine electrical inclusions.",

keywords = "Geometrical optics, Inclusions, Numerical algorithm",

author = "Gunther Uhlmannt and Wang, \{Jenn Nan\}",

year = "2008",

doi = "10.1137/060676350",

language = "English",

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T1 - Reconstructing discontinuities using complex geometrical optics solutions

AU - Uhlmannt, Gunther

AU - Wang, Jenn Nan

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AB - In this paper we provide a framework for constructing general complex geometrical optics solutions for several systems of two variables that can be reduced to a system with the Laplacian as the leading order term. We apply these special solutions to the problem of reconstructing inclusions inside a domain filled with known conductivity from local boundary measurements. Computational results demonstrate the versatility of these solutions to determine electrical inclusions.

KW - Geometrical optics

KW - Inclusions

KW - Numerical algorithm

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000255500200006

UR - https://openalex.org/W2066188711

UR - https://www.scopus.com/pages/publications/49449109465

U2 - 10.1137/060676350

DO - 10.1137/060676350

M3 - Journal Article

SN - 0036-1399

VL - 68

SP - 1026

EP - 1044

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 4

ER -

Reconstructing discontinuities using complex geometrical optics solutions

Abstract

Keywords

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