A reduced basis Landweber method for nonlinear inverse problems
نویسندگان
چکیده
منابع مشابه
Accelerated Newton-Landweber Iterations for Regularizing Nonlinear Inverse Problems
In this paper, we investigate the convergence behaviour of a class of regularized Newton methods for the solution of nonlinear inverse problems. In order to keep the overall numerical effort as small as possible, we propose to solve the linearized equations by certain semiiterative regularization methods, in particular, iterations with optimal speed of convergence. Our convergence rate analysis...
متن کاملglobal 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...
A Compressive Landweber Iteration for Solving Ill-Posed Inverse Problems
In this paper we shall be concerned with the construction of an adaptive Landweber iteration for solving linear ill-posed and inverse problems. Classical Landweber iteration schemes provide in combination with suitable regularization parameter rules order optimal regularization schemes. However, for many applications the implementation of Landweber’s method is numerically very intensive. Theref...
متن کاملInexact Newton–Landweber iteration for solving nonlinear inverse problems in Banach spaces
By making use of duality mappings, we formulate an inexact Newton– Landweber iteration method for solving nonlinear inverse problems in Banach spaces. The method consists of two components: an outer Newton iteration and an inner scheme providing the increments by applying the Landweber iteration in Banach spaces to the local linearized equations. It has the advantage of reducing computational w...
متن کاملOn the Convergence of modified Landweber iteration for nonlinear inverse problems
This paper investigates the modified Landweber iteration for nonlinear inverse problems, and a projected variant of this method for problems with convex constraints. Optimal convergence rates are derived for different kinds of source conditions and under mild nonlinearity conditions on the operator. The theoretical results are illustrated by numerical results.
متن کاملذخیره 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: Inverse Problems
سال: 2016
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/32/3/035001