Direct Evaluation of Hypersingular Integrals in 2D BEM

1992 ◽  
pp. 23-34 ◽  
Author(s):  
M. Guiggiani
Keyword(s):  
Direct Evaluation ◽  
Hypersingular Integrals

scholarly journals Galerkin BEM with Direct Evaluation of Hypersingular Integrals

2007 ◽  
Vol 1 (2) ◽  
Author(s):  
Marc Bonnet ◽  
Massimo Guiggiani
Keyword(s):  
Singular Integrals ◽  
Careful Analysis ◽  
General Algorithm ◽  
Direct Evaluation ◽  
Hypersingular Integrals ◽  
Double Integrals

In this paper a new general algorithm is presented for the direct evaluation of all singular double integrals arising in the 2D Galerkin BEM, including those with hypersingular kernels. A distinguishing feature of the proposed method is that double singular integrals are treated as a whole, that is not as inner integrals followed by outer ones. Therefore, when applied to the symmetric Galerkin BEM, the proposed technique is strictly symmetry preserving. Moreover, a careful analysis of the limiting process is performed which shows that some new free terms may arise.

Current uses of intracranial vessel wall imaging for clinical practice: a high-resolution MR technique recently available

2020 ◽  
Vol 78 (10) ◽  
pp. 642-650
Author(s):  
Felipe Torres PACHECO ◽  
Luiz Celso Hygino da CRUZ JUNIOR ◽  
Igor Gomes PADILHA ◽  
Renato Hoffmann NUNES ◽  
Antônio Carlos Martins MAIA JUNIOR ◽  
...  
Keyword(s):  
Clinical Practice ◽  
Vessel Wall ◽  
Vascular Diseases ◽  
Vascular Wall ◽  
Vessel Wall Imaging ◽  
Clinical Settings ◽  
Direct Evaluation ◽  
Intracranial Vessel ◽  
Indirect Evaluation ◽  
Wall Imaging

ABSTRACT Intracranial vessel wall imaging plays an increasing role in diagnosing intracranial vascular diseases. With the growing demand and subsequent increased use of this technique in clinical practice, radiologists and neurologists should be aware of the choices in imaging parameters and how they affect image quality, clinical indications, methods of assessment, and limitations in the interpretation of these images. Due to the improvement of the MRI techniques, the possibility of accurate and direct evaluation of the abnormalities in the arterial vascular wall (vessel wall imaging) has evolved, adding substantial data to diagnosis when compared to the indirect evaluation based on conventional flow analyses. Herein, the authors proposed a comprehensive approach of this technique reinforcing appropriated clinical settings to better use intracranial vessel wall imaging.

Application of global geopotential models to high-precesion levelling processing

2017 ◽  
Vol 926 (8) ◽  
pp. 2-9
Author(s):  
V.V. Popadyev ◽  
D.A. Kuliev
Keyword(s):  
Field Model ◽  
Direct Evaluation ◽  
Gravity Field Model ◽  
Bouguer Anomalies ◽  
Free Air ◽  
Geopotential Models ◽  
Integral Characteristics ◽  
Indirect Evaluation ◽  
Gravity Map ◽  
High Degree

The article studies the properties of the high-degree gravity field model EGM-2008 in the calculation of integral characteristics at large distances several times greater than the spatial resolution of the model. As an example of an indirect evaluation of a high-degree model, a gravimetric correction was computed into the sum of the measured elevations along the line of the high-precision I class leveling of the Krasnovodsk – Chardzhou line located in Turkmenistan. Using the calculator ICGEM, the Bouguer anomalies were calculated at each point of the line, then the attraction of the Bouguer layer (used heights are from catalog) excluded for the transition to free-air anomalies. In parallel, for a direct evaluation of the model, a regular grid of Bouguer anomalies with a step of 2 angular minutes within line area was also obtained, which were then compared with the anomalies from the gravity map J-40 of scale 1

Documentation et gestion du patrimoine archéologique de la chaîne montagneuse tuniso-libyenne via l'utilisation des nouvelles technologies : résultats préliminaires

2021 ◽  
pp. 1-16
Author(s):  
Héla Mekki
Keyword(s):  
New Technologies ◽  
Management Plan ◽  
Archaeological Sites ◽  
Mountain Range ◽  
Direct Evaluation ◽  
Nouvelles Technologies ◽  
Data Assessment ◽  
Conservation Plan ◽  
Indirect Evaluation ◽  
Management And Conservation

Abstract The mountain range formed by Jebels Matmata, Demmer and Nefoussa which links the two countries, Tunisia and Libya, is strewn with archaeological remains that are little known today, due in part to the rugged terrain which makes it difficult to see them. This issue has been helped by the use of new technologies, in this case remote sensing and QGIS software. Archaeological evidence has been uncovered and more than 3,900 sites and monuments have been detected on the sides of these mountains. In addition to the inventory of unknown archaeological sites, the main aim of the work was to draw up a management and conservation plan to provide, with an order of priority, a strategy for the safeguard and conservation of the mountain heritage. This management plan was only possible through a correlation of three data: assessment of values, identification of threats, and study of the state of conservation. These components were studied using an indirect evaluation based on satellite imagery and direct evaluation through field visits.

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