Discrete variational adjoint assimilations for parameter optimizations via spectral methods

DOI10.1080/17415971003658031zbMath1190.65143OpenAlexW2120549009MaRDI QIDQ3565081

Chuanju Xu, Dong Qu

Publication date: 27 May 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415971003658031

zbMATH Keywords

convergencenumerical resultsheat equationinverse problemCrank-Nicolson schemespectral methodsparameter optimizationvariational adjoint assimilation

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Cites Work

• Numerical Simulation in Fluid Dynamics
• Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
• Iterative Solution of Nonlinear Equations in Several Variables

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