Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations

DOI10.1007/s00245-020-09710-2OpenAlexW3048629865MaRDI QIDQ2232793

Nguyen Thanh Son, Tran Nhan Tam Quyen, Dinh Nho Hào

Publication date: 8 October 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04732

zbMATH Keywords

convergence ratesTikhonov regularizationill-posednessparabolic probleminverse source problemsource conditionCrank-Nicolson Galerkin method

Mathematics Subject Classification ID

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) 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 solution to inverse problems in abstract spaces (65J22) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Uses Software

• KELLEY

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