A wavelet multilevel solution of the stationary geoelectrical field in the non-homogeneous environment

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F02%3A00006688" target="_blank" >RIV/61989100:27240/02:00006688 - isvavai.cz</a>

Výsledek na webu

—

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

A wavelet multilevel solution of the stationary geoelectrical field in the non-homogeneous environment

Popis výsledku v původním jazyce

The contribution deals with a solution of the direct geophysical problem for the stationary electrical field in the non-homogeneous environment. The environment is represented by a planar domain composed from the several subdomains, i.e. homogeneous environments with different resistivity. The solution is based on a wavelet-Galerkin discretization of the problem via a fictitious domain formulation. Therefore two kinds of the Lagrange multipliers are considered: the first one enforces the boundary condition on the real domain while the second one is located on interfaces of the homogeneous environments and ensures the continuity of the potential of the electrical field. Multilevel structure of the wavelet spaces enables to solve efficiently the linear systems arising from the discretization. The presented solver uses the wavelet-based multigrid technique. The numerical experiments described in the paper confirm the efficiency of the method as well as the agreement with the physical real

Název v anglickém jazyce

A wavelet multilevel solution of the stationary geoelectrical field in the non-homogeneous environment

Popis výsledku anglicky

The contribution deals with a solution of the direct geophysical problem for the stationary electrical field in the non-homogeneous environment. The environment is represented by a planar domain composed from the several subdomains, i.e. homogeneous environments with different resistivity. The solution is based on a wavelet-Galerkin discretization of the problem via a fictitious domain formulation. Therefore two kinds of the Lagrange multipliers are considered: the first one enforces the boundary condition on the real domain while the second one is located on interfaces of the homogeneous environments and ensures the continuity of the potential of the electrical field. Multilevel structure of the wavelet spaces enables to solve efficiently the linear systems arising from the discretization. The presented solver uses the wavelet-based multigrid technique. The numerical experiments described in the paper confirm the efficiency of the method as well as the agreement with the physical real

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2002

Kód důvěrnosti údajů

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

Název periodika

Mathematical modeling

ISSN

0234-0879

e-ISSN

—

Svazek periodika

14

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

RU - Ruská federace

Počet stran výsledku

11

Strana od-do

98-108

Kód UT WoS článku

—

EID výsledku v databázi Scopus

—