Boundary Inverse for General Transport Model

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00312402" target="_blank" >RIV/68407700:21110/17:00312402 - isvavai.cz</a>
Result on the web
<a href="https://github.com/janhavelka/BIGTM" target="_blank" >https://github.com/janhavelka/BIGTM</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Boundary Inverse for General Transport Model
Original language description
BIGTM (Boundary Inverse of General Transport Model) is a toolbox developed in a Matlab environment with a main purpose to examine the possibility to recover parameter/s of elliptic and/or parabolic partial differential equations (PDEs) from Neumann-to-Dirichlet (NTD) or Dirichlet-to-Neumann (DTN) data on boundary. The idea of recovering the spatial distribution of material properties inside a domain of interest using only a boundary measurements dates back to 1930 in geophysics by R. E. Langer (1933), however, the principle of recovering the material information from Cauchy data is being named after Argentinian mathematician Alberto Calderón, who first defined a more profound mathematical formulation in a foundational paper published in 1980. Nowdays the method is most commonly used as a medical imaging technique named Electrical Impedance Tomography (EIT) which utilizes the solution of electrostatics. The main intention of this toolbox is to provide insight into this technique by allowing arbitrary boundary conditions, domain shapes and two types of PDEs.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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