Fast calculations of the gradient and the Hessian in the time-domain global electromagnetic induction inverse problem

Result code in IS VaVaI

RIV/00216208:11320/17:10367429 - isvavai.cz

Result on the web

http://dx.doi.org/10.1093/gji/ggx167

DOI - Digital Object Identifier

10.1093/gji/ggx167

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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Type

J_imp - 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

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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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