LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "inverse source" as a keyword



An Inverse Source Technique as a Preliminary Tool to Localize Persons in Indoor Spaces

Sign Up to like & get
recommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.70153

Abstract: This paper considers an inverse heat source localization problem with applications to indoor person localization from temperature measurements. In particular, this inverse problem consists in the reconstruction of the intensity and position of heat sources… read more here.

Keywords: source technique; heat; technique preliminary; source ... See more keywords

Inverse source problem with a posteriori boundary measurement for fractional diffusion equations

Sign Up to like & get
recommendations! Published in 2022 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.9432

Abstract: In this article we study inverse source problems for time-fractional diffusion equations from \textit{a posteriori} boundary measurement. Using the memory effect of these class of equations, we solve these inverse problems for several class of… read more here.

Keywords: fractional diffusion; time; diffusion equations; inverse source ... See more keywords

Simulation of 2D and 3D inverse source problems of nonlinear time-fractional wave equation by the meshless homogenization function method

Sign Up to like & get
recommendations! Published in 2021 at "Engineering with Computers"

DOI: 10.1007/s00366-021-01489-2

Abstract: In this paper, homogenization functions are first proposed to address two-dimensional (2D) and three-dimensional (3D) inverse source problems of nonlinear time-fractional wave equation (ISPs-NTFWE). Homogenization functions for 2D and 3D problems can be derived based… read more here.

Keywords: problems nonlinear; method; inverse source; source problems ... See more keywords

Inverse Source and Coefficient Problems for Elliptic and Parabolic Equations in Hölder and Sobolev Spaces

Sign Up to like & get
recommendations! Published in 2019 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-019-04184-2

Abstract: We review some results obtained by the authors during the last 15 years. In particular, we present the existence and uniqueness theorems for linear and nonlinear inverse problems of reconstructing unknown coefficients in elliptic and… read more here.

Keywords: elliptic parabolic; source coefficient; problems elliptic; inverse source ... See more keywords
Photo from archive.org

Inverse source problems in transport equations with external forces

Sign Up to like & get
recommendations! Published in 2021 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2021.09.011

Abstract: This paper is concerned with the inverse source problem for the transport equation with external force. We show that both direct and inverse problems are uniquely solvable for generic absorption and scattering coefficients. In particular,… read more here.

Keywords: equations external; source; inverse source; problems transport ... See more keywords

Increasing stability for the inverse source problem in elastic waves with attenuation

Sign Up to like & get
recommendations! Published in 2023 at "European Journal of Applied Mathematics"

DOI: 10.1017/s0956792523000116

Abstract: This paper is concerned with the increasing stability of the inverse source problem for the elastic wave equation with attenuation in three dimensions. The stability estimate consists of the Lipschitz type data discrepancy and the… read more here.

Keywords: stability inverse; inverse source; source problem; source ... See more keywords

An inverse-source problem for maximization of pore-fluid oscillation within poroelastic formations

Sign Up to like & get
recommendations! Published in 2017 at "Inverse Problems in Science and Engineering"

DOI: 10.1080/17415977.2016.1201663

Abstract: This paper discusses a mathematical and numerical modeling approach for identification of an unknown optimal loading time signal of a wave source, atop the ground surface, that can maximize the relative wave motion of a… read more here.

Keywords: fluid; inverse source; problem; pore fluid ... See more keywords

Inverse source problems for a space–time fractional differential equation

Sign Up to like & get
recommendations! Published in 2019 at "Inverse Problems in Science and Engineering"

DOI: 10.1080/17415977.2019.1597079

Abstract: ABSTRACT We considered two inverse source problems for a space–time fractional differential equation. Firstly recovery of a space dependent source term is studied, secondly determination of a time dependent source term is considered. A bi-orthogonal… read more here.

Keywords: problems space; source; time; inverse source ... See more keywords

A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium

Sign Up to like & get
recommendations! Published in 2019 at "Inverse Problems"

DOI: 10.1088/1361-6420/ab4d98

Abstract: We revisit the inverse source problem in a two dimensional absorbing and scattering medium and present a non-iterative reconstruction method using measurements of the radiating flux at the boundary. The attenuation and scattering coefficients are… read more here.

Keywords: source problem; inverse; source; scattering medium ... See more keywords

Fourier method for inverse source problem using correlation of passive measurements

Sign Up to like & get
recommendations! Published in 2024 at "Inverse Problems"

DOI: 10.1088/1361-6420/ad6fc7

Abstract: We consider the inverse source problem for the time-dependent, constant-coefficient wave equation with Cauchy data and passive cross-correlation data.We propose to consider the cross-correlation as a wave equation itself and reconstruct the cross-correlation in the… read more here.

Keywords: correlation; source problem; cross correlation; source ... See more keywords

Increasing stability of the acoustic and elastic inverse source problems in multi-layered media

Sign Up to like & get
recommendations! Published in 2024 at "Inverse Problems"

DOI: 10.1088/1361-6420/ad7055

Abstract: This paper investigates inverse source problems for the Helmholtz and Navier equations in multi-layered media, considering both two and three-dimensional cases respectively. The study reveals a consistent increase in stability for each scenario, characterized by… read more here.

Keywords: stability; layered media; inverse source; multi layered ... See more keywords