Results 231 to 240 of about 6,303,122 (262)

An Inverse Problem for a Nonlinear Elliptic Differential Equation

SIAM Journal on Mathematical Analysis, 1987
In this paper we determine the form of an unknown forcing term f in the equation $\Delta u = \gamma (x,y,u) + f(u)$ from overprescribed boundary data on a domain in $R^2 $ by reformulating the problem as a fixed point problem in an appropriate function space. Given suitable restrictions on the growth of f and the boundary data we recover a unique f.
Pilant, Michael, Rundell, William
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Some Inverse Problems for Elliptic Equations

Applicable Analysis, 1988
We examine the question of identifying certain coefficients in elliptic equations from overposed boundary data . These coefficients have a known value in a subset of the domain, and another known value on its complement; the problem is to identify this ...
William Rundell
exaly   +2 more sources

Stability estimates for an inverse elliptic problem

jiip, 2002
Abstract - We prove stability estimates for an inverse elliptic problem consisting in the determination of an unknown boundary coefficient from an overdetermined data. We consider both the case of all boundary measurements and the case of single boundary measurement.
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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

SpringerBriefs in Mathematics, 2016
Mourad Choulli
exaly   +3 more sources

Inverse Problems for Elliptic Equations

2017
This chapter is an introduction to the basic inverse problems for elliptic equations. One class of these inverse problems arises when the Born approximation is used for scattering problem in quantum mechanics, acoustics or electrodynamics. In the first part of this chapter two inverse problems, the inverse scattering problem at a fixed energy and the ...
Alemdar Hasanov Hasanoğlu, Vladimir G. Romanov   +1 more
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Computational issues arising in multidimensional elliptic inverse problems: the inverse problem of electrocardiography

Engineering Computations, 1995
We compare a recently proposed generalized eigensystem approach and a new modified generalized eigensystem approach to more widely used truncated singular value decomposition and zero‐order Tikhonov regularization for solving multidimensional elliptic inverse problems.
Olson, Lorraine G., Throne, Robert D.
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Solving an Inverse Problem for an Elliptic Equation by d.c. Programming

Journal of Global Optimization, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Thi Hoai An, Pham Dinh Tao, Dinh Nho Hào   +2 more
openaire   +4 more sources

Numerical methods for elliptic inverse problems

International Journal of Computer Mathematics, 1998
Identifying physical parameters in elliptic boundary value problems is formulated as a constrained minimization problem using the output least squares method with the H l-regularization or the BV-regularization. The constrained minimization problem is then discretized by finite element methods and the discretization is shown to be convergent for both ...
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Inverse problems for elliptic equations in the space: II

Differential Equations, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation of the Inverse Elliptic Problem With Mixed Boundary Value Conditions and Overdetermination [PDF]

Boundary Value Problems, 2015
In the present study, the inverse problem for a multidimensional elliptic equation with mixed boundary conditions and overdetermination is considered. The first and second orders of accuracy in t and the second order of accuracy in space variables for ...
Charyyar Ashyralyyev, Mutlu Dedeturk
exaly   +2 more sources