Expression Asymptotique De La Solution De L' Equation De Helmhotz Sur Un Obstacle Convexe a Haute Frequence

الموضوعات

علوم بحتة وطبيعية

الملخص

This thesis is concerned with new results of the waves diffraction by a strictly convexobstacle. Our objective is to produce the high frequency asymptotic expansion of theHelmholtz equation solution providing a boundary condition given by the Dirichlet toNeumann operator $ DtN $. As it is known, after using the high frequency integral equations method, the scattered field everywhere exterior to the obstacle can be determined by computing the approach associated to the total field on the boundary of the scattererThe original expansions were obtained by using the pseudo-differential decomposition of the operator $ DtN $ in the neighborhood of singular point this allows M. Taylor and R.B.Melrose to provide a corrected version of the Kirchhoff approximation such it is onlyavailable on the illuminated region.This work uses first and second order approximations of the $DtN$ operator to derive newasymptotic expressions of the normal derivative of the total field. The resulting expansions can be used to appropriately choose the ansatz in the design of high frequency numerical solvers, such as those based on integral equations, in order to produce more accurate approximation of the solutions of the Helmholtz equation on all regions of the obstacle more precisely around the shadow and deep shadow regions.

روابط وملفات

التعريف والنوع

رقم الوثيقة

01eb3af8-7cc1-4fc0-ac84-1d96a5b683f8

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل دكتوراة

نوع الملف

pdf text

أسماء الملفات

214039_1.pdf, 214039_2.pdf, 214039_3.pdf, 214039_4.pdf, 214039_5.pdf, 214039_6.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Sidi Mohamed Bahri","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Souaad Lazergui","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"Yassine Boubendir","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

French

المصدر والدورية

اسم المصدر

Expression Asymptotique De La Solution De L' Equation De Helmhotz Sur Un Obstacle Convexe a Haute Frequence

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

Sidi Mohamed Bahri, Yassine Boubendir

الإعداد

Souaad Lazergui

الاقتباسات الببليوغرافية