.png){kind=icon}
Return
An inversion method for harmonic functions reconstruction
.png){kind=icon}
PRE
AI
DOI：10.1016/S1290-0729(02)01344-3.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We are interested in this paper in recovering an harmonic function from the knowledge of Cauchy data on some pan of the boundary. The inverse scheme reduces the Cauchy problem resolution to a fixed point process. It is proved, when the data are compatible, this fixed point process converges to the Cauchy problem solution. The algorithm is implemented in both situations, firstly in the framework of boundary elements and secondly in a finite element one. Displayed numerical results highlight their accuracy, as well as their robustness to noisy data. Finally we present the contribution of the method to solve an engineering problem which consists in determining temperature and heat flux on the inner cylinder wall from the knowledge of temperatures and heat flux on the whole outer wall. (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
Keywords:
inverse problem
Laplace's equation
Cauchy problem
fixed point process
finite element method
boundary element method
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
5
Papers:
8.8K
Citations:
2.5W
Organization
No organization information available
Cited Papers
ShareSaveShareSaveEvaluation of a feasibility study addressing risk factors for childhood obesity through home visits
PREAI
ShareSaveReanimation unter besonderen Umständen: Kreislaufstillstand bei implantiertem Linksherzassist-Device (LVAD).png)
Der Notarzt
Der NotarztIF0
PREAI
ShareSave no more
no more