Massively parallel structural acoustics for forward and inverse problems

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Inverse Problems in Underwater Acoustics

The paper presents an overview of the inverse problems associated with applications of underwater acoustics. The problems are classified into four main categories, according to the recoverable quantities : Acoustic source localization, bottom identification, ocean acoustic tomography and target recognition. The paper gives emphasis to the three first categories, and includes methods to solve th...

Optical tomography: forward and inverse problems

This paper is a review of recent mathematical and computational advances in optical tomography. We discuss the physical foundations of forward models for light propagation on microscopic, mesoscopic and macroscopic scales. We also consider direct and numerical approaches to the inverse problems which arise at each of these scales. Finally, we outline future directions and open problems in the f...

Massively parallel forward modeling of scalar and tensor gravimetry data

We present an approach to calculate scalar and tensor gravity utilizing the massively parallel architecture of consumer graphics cards. Our parametrization is based on rectilinear blocks with constant density within each blocks. This type of parametrization is well suited for inversion of gravity data or joint inversion with other datasets, but requires the calculation of a large number of mode...

Stochastic Network Problems: Massively Parallel Solution