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Reduced-order model tracking and interpolation to solve PDE-based Bayesian inverse problems

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Publication:2861886
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DOI10.1088/0266-5611/29/7/075014zbMath1278.65148OpenAlexW2058567843MaRDI QIDQ2861886

Raphael Sternfels, Christopher J. Earls

Publication date: 11 November 2013

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/29/7/075014


zbMATH Keywords

numerical examplesfinite elementBayesian inverse problemsreduced-order modelsidentification of model parametersMonte Carlo sampling scheme


Mathematics Subject Classification ID

Monte Carlo methods (65C05) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)


Related Items (5)

A new network approach to Bayesian inference in partial differential equations ⋮ Principled interpolation of Green's functions learned from data ⋮ GPLaSDI: Gaussian process-based interpretable latent space dynamics identification through deep autoencoder ⋮ Unnamed Item ⋮ Multiscale model reduction method for Bayesian inverse problems of subsurface flow




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