A variational inequality based stochastic approximation for inverse problems in stochastic partial differential equations

DOI10.1007/978-3-030-61732-5_9zbMath1472.35451OpenAlexW3133506046MaRDI QIDQ1982216

Yidan Yang, Rachel Hawks, Akhtar A. Khan, Miguel Sama, Baasansuren Jadamba

Publication date: 7 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-61732-5_9

zbMATH Keywords

parameter identificationPDE with random dataprojected-gradient-type stochastic approximation scheme

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems in optimal control (49N45) 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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A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models ⋮ An iteratively regularized stochastic gradient method for estimating a random parameter in a stochastic PDE. A variational inequality approach ⋮ A new regularized stochastic approximation framework for stochastic inverse problems ⋮ Unnamed Item ⋮ A Convex Optimization Framework for the Inverse Problem of Identifying a Random Parameter in a Stochastic Partial Differential Equation ⋮ A random time-dependent noncooperative equilibrium problem

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