Fast calculations of the gradient and the Hessian in the time-domain global electromagnetic induction inverse problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10367429" target="_blank" >RIV/00216208:11320/17:10367429 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1093/gji/ggx167" target="_blank" >http://dx.doi.org/10.1093/gji/ggx167</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/gji/ggx167" target="_blank" >10.1093/gji/ggx167</a>
Alternative languages
Result language
angličtina
Original language name
Fast calculations of the gradient and the Hessian in the time-domain global electromagnetic induction inverse problem
Original language description
The deterministic approach to the inverse problem of the time-domain electromagnetic induction in a spherical Earth requires the calculation of the first derivative of a misfit function in every step of the minimization process. In addition, an a-posteriori error analysis can benefit from the knowledge of the Hessian, the matrix of the second derivatives. We present the derivation of the formulas for the fast calculation of the misfit gradient, the Hessian, and the Hessian-vector product, based on the solution of an adjoint problem. We validate our results on a synthetic model against a slow finite-difference scheme.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10500 - Earth and related environmental sciences
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Geophysical Journal International
ISSN
0956-540X
e-ISSN
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Volume of the periodical
210
Issue of the periodical within the volume
1
Country of publishing house
GB - UNITED KINGDOM
Number of pages
14
Pages from-to
270-283
UT code for WoS article
000409281300019
EID of the result in the Scopus database
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