Work

Combining reciprocity gap method and state estimator for source identification in an advection diffusion equation

Year: 2025

Type: article

Abstract: In this paper, we propose to revisit a reciprocity gap method for solving point inverse source problem in an advection diffusion equation. The motivation of this problem is in ecology for pollutant source identification in a river. We propose the construction of original (numerically computed) adjoint functions that allows to consider more realistic geometries and river flows. The method is combined with a state estimator which allows to accelerate the identification process. The proposed method is validated on several examples.

Source: SMAI Journal of Computational Mathematics

DOI: 10.5802/smai-jcm.124

Author: Antoine Tonnoir

Institution: Institut National des Sciences Appliquées Rouen Normandie

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408771789

FWCI: 1.614

Cites: 26

Cited by: 1

Related to: 10