A non-iterative method for identifying multiple unknown time-dependent sources compactly supported occurring in a 2D parabolic equation

DOI10.1080/17415977.2017.1347648zbMath1409.65063OpenAlexW2730739582MaRDI QIDQ3121993

Adel Hamdi

Publication date: 20 March 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1347648

zbMATH Keywords

optimization and controlnonlinear inverse source problemadvection-dispersion-reaction equationrough/partial shape identification

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (2)

A new reconstruction method for a parabolic inverse source problem ⋮ The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identification of time active limit with lower and upper bounds of total amount loaded by unknown sources in 2D transport equations
• Sources recovery from boundary data: A model related to electroencephalography
• Reconstruction of a source domain from boundary measurements
• Inverse source problem based on two dimensionless dispersion-current functions in 2D evolution transport equations
• Identification of a discontinuous source in the heat equation
• A null controllability data assimilation methodology applied to a large scale ocean circulation model
• Square regularization matrices for large linear discrete ill-posed problems
• Identification of multiple moving pollution sources in surface waters or atmospheric media with boundary observations
• A meshless method for solving a two‐dimensional transient inverse geometric problem
• Detection and identification of multiple unknown time-dependent point sources occurring in 1D evolution transport equations
• An efficient numerical method for a shape-identification problem arising from the heat equation
• Identification of moving pointwise sources in an advection–dispersion–reaction equation
• A uniqueness theorem for parabolic equations
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• Reconstruction of a source domain from the Cauchy data
• Detection-Identification of multiple unknown time-dependent point sources in a 2D transport equation: application to accidental pollution
• On the Numerical Solution of a Shape Optimization Problem for the Heat Equation
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Application of inverse source concepts to photoacoustic tomography

This page was built for publication: A non-iterative method for identifying multiple unknown time-dependent sources compactly supported occurring in a 2D parabolic equation