Results 251 to 260 of about 11,908,024 (286)

Source identification problem for an elliptic-hyperbolic equation

AIP Conference Proceedings, 2016
In the present paper, a boundary value problem for the differential equation with parameter in a Hilbert space with self-adjoint definite operator is investigated. The well-posedness of this problem is presented. The stability inequalities for the solution of source identification problem for elliptic-hyperbolic equations are given.
Allaberen Ashyralyev, Fatma Songul Ozesenli Tetikoglu, Tulay Kahraman   +2 more
openaire   +1 more source

On source identification problem for a hyperbolic-parabolic equation

Contemporary Analysis and Applied Mathematics, 2015
In the present paper, the boundary value problem for the differential equation with parameter $p$% \begin{equation*} \left\{ \begin{array}{l} \frac{d^{2}u(t)}{dt^{2}}+Au(t)=g(t)+p ...
Allaberen Ashyralyev, Maral Allaberenovna Ashyralyyeva   +1 more
openaire   +1 more source

Fast Algorithms for Source Identification Problems With Elliptic PDE Constraints

SIAM Journal on Imaging Sciences, 2010
We present algorithms for the solution of a class of source identification problems for systems governed by elliptic partial differential equations (PDEs) on two-dimensional regular geometries. The state is the solution of the PDE, which is driven by an unknown source field. Given observations of the state, we seek to reconstruct the source field.
George Biros
exaly   +3 more sources

Point Sources Identification Problems for Heat Equations

Communications in Computational Physics, 2009
We considered the point source identification problems for heat equations from noisy observation data taken at the minimum number of spatially fixed measurement points. We aim to identify the unknown number of sources and their locations along with their strengths.
Leevan Ling, Tomoya Takeuchi
openaire   +1 more source

Inverse problems of identification of pointwise sources in parabolic problems

Mathematical notes of NEFU
The question of well-posedness in Sobolev spaces of parabolic inverse problems on recovering the source is considered. The unknowns are a solution to the equation and its the right-hand side which is representable in the form of a sum of the products of functions depending on time and Dirac delta-functions.
L. V. Neustroeva, S. A. Shmorgan
openaire   +1 more source

A Source Identification Problem for Subdiffusion Equations Involving Delays

Mathematical Methods in the Applied Sciences
ABSTRACTWe are concerned with a problem of parameter identification in a subdiffusion equation involving time‐varying delays. The solvability of problem is proved by using final state observation, which is possibly nonlocal data. The state function is shown to be Hölder continuous, and the stability result in the case of local data is testified ...
Nguyen Van Dac, Lam Thi Thoa
openaire   +1 more source

Source identification problems for the wave equation on graphs

Inverse Problems, 2015
We consider source identification problems for the wave equation on graphs. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of linear integral Volterra equations of the second kind and is new even for an interval.
Sergei Avdonin, Serge Nicaise
openaire   +1 more source

Identification of the source function for a seawater intrusion problem in unconfined aquifer

Numerical Algorithms, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Slimani, S., Medarhri, I., Najib, Khalid, Zine, A.   +3 more
openaire   +4 more sources

A source identification problem in linear parabolic problems: A semigroup approach

jiip, 2013
Abstract. This paper presents a semigroup approach for an inverse source problem for the abstract heat equation with the unknown function h. This can be recovered from the time measurements at a single interior point y. The existence of a solution is shown in appropriate function spaces.
openaire   +1 more source

Application of heuristic algorithms on groundwater pumping source identification problems

2015 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), 2015
This study investigates the application of heuristic algorithms on groundwater pumping source identification problem. Unknown groundwater extraction site is located by analyzing the hydraulic heads of the observation wells. Genetic algorithm (GA), particle swarm optimization (PSO), mutated PSO (MUPSO), their hybrid models GA-MUPSO, and groundwater ...
Jin-Long Wang, Yu-Hao Lin, Min-Der Lin
openaire   +1 more source