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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10500 - Earth and related environmental sciences

Result continuities

  • Project

  • 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

  • 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