Inexact Interior-Point Method for PDE-Constrained Nonlinear Optimization

DOI10.1137/130921283zbMath1305.49040OpenAlexW1973094914MaRDI QIDQ2878952

Marcus J. Grote, Johannes Huber, Olaf Schenk, Drosos Kourounis

Publication date: 5 September 2014

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

Full work available at URL: https://semanticscholar.org/paper/2dff1972984e9e6ea5e0a5a2978f55de5d49a33f

zbMATH Keywords

optimal controlpreconditioningnonconvex programmingseismic imagingPDE-constrained optimizationfull-waveform inversionfinite dimensional approximationKKT-systeminexact interior-point method

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Large-scale problems in mathematical programming (90C06) Applications of mathematical programming (90C90) Nonconvex programming, global optimization (90C26) Optimality conditions for problems involving partial differential equations (49K20) Hydrology, hydrography, oceanography (86A05) Numerical methods based on nonlinear programming (49M37) Interior-point methods (90C51) Seismology (including tsunami modeling), earthquakes (86A15) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (7)

On the implementation of a quasi-Newton interior-point method for PDE-constrained optimization using finite element discretizations ⋮ Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization ⋮ On Block Triangular Preconditioners for the Interior Point Solution of PDE-Constrained Optimization Problems ⋮ Adaptive eigenspace method for inverse scattering problems in the frequency domain ⋮ Adaptive eigenspace for multi-parameter inverse scattering problems ⋮ Adaptive spectral decompositions for inverse medium problems ⋮ A penalty method for PDE-constrained optimization in inverse problems

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