Stable reconstruction of the initial condition in parabolic equations from boundary observations
DOI10.1016/j.camwa.2020.02.019zbMath1446.65096OpenAlexW3010829958MaRDI QIDQ2192532
Bandar Bin-Mohsin, Phan Xuan Thanh, Dinh Nho Hào, Nguyen Huu Cong
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.02.019
parabolic equationsleast squares methodboundary observationenergy space methodJ.-L. Lions' methodreconstruction of the initial condition
Numerical optimization and variational techniques (65K10) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Second-order parabolic equations (35K10) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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