Stochastic augmented Lagrangian method in Riemannian shape manifolds
DOI10.1007/s10957-024-02488-1MaRDI QIDQ6636782
Kathrin Welker, Caroline Geiersbach, Tim Suchan
Publication date: 12 November 2024
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
stochastic optimizationRiemannian manifoldshape optimizationuncertaintiesinequality constraintsgeometric constraintaugmented Lagrangian
Optimality conditions for problems involving partial differential equations (49K20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Optimization of shapes other than minimal surfaces (49Q10) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Rate of convergence, degree of approximation (41A25) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)
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