Efficient calculation of Jacobian and adjoint vector products in the wave propagational inverse problem using automatic differentiation

DOI10.1006/jcph.1999.6373zbMath0947.65104OpenAlexW1967903243MaRDI QIDQ1971397

Fadil Santosa, Arun Kumar Verma, Thomas F. Coleman

Publication date: 12 November 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/3236

zbMATH Keywords

numerical examplesinverse problemsfinite difference equationautomatic differentiationacoustic wavesnonlinear problemsidentification problemsnonlinear least-squareswave propagation equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical differentiation (65D25) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

The independent set perturbation adjoint method: A new method of differentiating mesh-based fluids models ⋮ Adjoint implementation of Rosenbrock methods applied to variational data assimilation problems. ⋮ The inverse source problem based on the radiative transfer equation in optical molecular imaging ⋮ An analysis of 4D variational data assimilation and its application

Uses Software

• ADOL-C
• TAMC

Cites Work

• Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Algorithm 755: ADOL-C
• The Efficient Computation of Sparse Jacobian Matrices Using Automatic Differentiation
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