Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation

DOI10.1137/21M1447271zbMath1506.65146arXiv2109.07114MaRDI QIDQ5043368

Zhi Zhou, Zhengqi Zhang

Publication date: 21 October 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.07114

zbMATH Keywords

stabilityregularizationerror estimatefully discretizationbackward diffusion-wave

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) 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 problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical quadrature and cubature formulas (65D32) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method ⋮ Stability and numerical analysis of backward problem for subdiffusion with time-dependent coefficients

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