Neumann--Dirichlet Nash Strategies for the Solution of Elliptic Cauchy Problems

DOI10.1137/120869808zbMath1280.49003OpenAlexW2065401662MaRDI QIDQ2873867

Moez Kallel, Abderrahmane Habbal

Publication date: 27 January 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00923574/file/HabbalKallel_SICON.pdf

zbMATH Keywords

data completionelliptic Cauchy problemNash games

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Differential games and control (49N70) Finite difference methods for boundary value problems involving PDEs (65N06) Existence theories for optimal control problems involving partial differential equations (49J20)

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Missing boundary data recovery using Nash games: the Stokes system ⋮ Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients ⋮ Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction ⋮ Analysis and Numerical Solution of a Modular Convex Nash Equilibrium Problem ⋮ A Bayesian optimization approach to find Nash equilibria ⋮ A Nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology ⋮ Data completion method for the Helmholtz equation via surface potentials for partial Cauchy data ⋮ A three-player Nash game for point-wise source identification in Cauchy-Stokes problems ⋮ The Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting

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