Space-time finite element method for determination of a source in parabolic equations from boundary observations

DOI10.1515/jiip-2019-0104OpenAlexW3048995902MaRDI QIDQ2232088

Phan Xuan Thanh

Publication date: 4 October 2021

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2019-0104

zbMATH Keywords

conjugate gradient methodTikhonov regularizationleast squares methodinverse source problemsboundary observationsspacetime finite element method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (1)

Identification of the forcing term in hyperbolic equations

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