Nonlinear multigrid diffusion

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Nonlinear Multigrid Optimization for Bayesian Diffusion Tomography

Optical diffusion tomography attempts to reconstruct an object cross section from measurements of scattered and attenuated light. While Bayesian approaches are well suited to this difficult nonlinear inverse problem, the resulting optimization problem is very computationally expensive. In this paper, we propose a nonlinear multigrid technique for computing the maximum a posteriori (MAP) reconst...

متن کامل

Nonlinear multigrid algorithms for Bayesian optical diffusion tomography

Abstract – Optical diffusion tomography is a technique for imaging a highly scattering medium using measurements of the transmitted modulated light. Reconstruction of the spatial distribution of the optical properties of the medium from such data is a very difficult nonlinear inverse problem. Bayesian approaches are effective, but are computationally expensive, especially for threedimensional i...

متن کامل

Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient

Nonlinear multigrid methods such as the Full Approximation Scheme (FAS) and Newton-multigrid (Newton-MG) are well established as fast solvers for nonlinear PDEs of elliptic and parabolic type. In this paper we consider Newton-MG and FAS iterations applied to second order differential operators with nonlinear diffusion coefficient. Under mild assumptions arising in practical applications, an app...

متن کامل

New Nonlinear Multigrid Analysis

SUMMARY The nonlinear multigrid is an eecient algorithm for solving the system of nonlinear equations arising from the numerical discretization of nonlinear elliptic boundary problems 7],,9]. In this paper, we present a new nonlinear multigrid analysis as an extension of the linear multigrid theory presented by Bramble, et al. in 5], 6], and 17]. In particular, we prove the convergence of the n...

متن کامل

Multigrid nonlinear SeaBeam interpolation

A multigrid nonlinear algorithm was applied to the April 18 SeaBeam data set to fill in the large regions of missing data, obtaining an image superior to those obtained with linear methods, and more quickly than is possible with a normal, single grid nonlinear interpolation. The model may be chosen to contain any number of points; here models with gradually increasing numbers of points are solv...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Physics: Conference Series

سال: 2011

ISSN: 1742-6596

DOI: 10.1088/1742-6596/268/1/012012