A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem

Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements

(2019) Huy Tuan Nguyen et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Determination of space-dependent coefficients from temperature measurements using the conjugate gradient method

(2018) Kai Cao et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements

(2018) K. Cao et al.   APPLIED MATHEMATICAL MODELLING

Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs

(2017) Anatoly B. Bakushinskii et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Iterated quasi-reversibility method applied to elliptic and parabolic data completion problems

(2016) Jérémi Dardé   Inverse Problems and Imaging

Determination of the initial condition in parabolic equations from integral observations

(2016) Dinh Nho Hào et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

Inverse space-dependent force problems for the wave equation

(2016) D. Lesnic et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Carleman estimates for the regularization of ill-posed Cauchy problems

(2015) Michael V. Klibanov   APPLIED NUMERICAL MATHEMATICS

Determination of forcing functions in the wave equation. Part II: the time-dependent case

(2015) S. O. Hussein et al.   JOURNAL OF ENGINEERING MATHEMATICS

Determination of forcing functions in the wave equation. Part I: the space-dependent case

(2015) S. O. Hussein et al.   JOURNAL OF ENGINEERING MATHEMATICS

On an inverse source problem for the heat equation. Application to a pollution detection problem, II

(2014) M. Andrle et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

An inverse problem of identifying the coefficient of parabolic equation

(2007) Liu Yang et al.   APPLIED MATHEMATICAL MODELLING