Boundary Inverse for General Transport Model

Kód výsledku v 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>

Výsledek na webu

<a href="https://github.com/janhavelka/BIGTM" target="_blank" >https://github.com/janhavelka/BIGTM</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Boundary Inverse for General Transport Model

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Boundary Inverse for General Transport Model

Popis výsledku anglicky

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.

Druh

O - Ostatní výsledky

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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