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Showing 1 to 4 of 4 for “"Elliptic inverse problems"”.
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Hessian Matrix-Free Lagrange-Newton-Krylov-Schur-Schwarz Methods for Elliptic Inverse Problems
<p>This study focuses on the solution of inverse problems for elliptic systems. The inverse problem is constructed as a PDE-constrained optimization, where the cost function is the <em>L</em><sup>2</sup> norm of the difference between the measured data and the predicted state variable, and the …
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Asymptotic theory for Bayesian nonparametric inference in statistical models arising from partial differential equations
… procedures in such parameter identification problems in PDEs. In particular, inverse regression models for elliptic equations and stochastic diffusion models are considered. In Chapter 2, we study the statistical inverse problem of recovering an unknown function from a linear indirect …