171 citations · 689 across the 32 of their papers we have counts for
4 papers · 1 filter
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method
Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh +1
This paper discusses the computation of derivatives for optimization problems governed by linear hyperbolic systems of partial differential equations (PDEs) that are discretized by…
A computational framework for infinite-dimensional Bayesian inverse problems. Part I: The linearized case, with application to global seismic inversion
Tan Bui-Thanh, Omar Ghattas, James Martin +1
We present a computational framework for estimating the uncertainty in the numerical solution of linearized infinite-dimensional statistical inverse problems. We adopt the Bayesian…
A computational framework for infinite-dimensional Bayesian inverse problems: Part II. Stochastic Newton MCMC with application to ice sheet flow inverse problems
Noemi Petra, James Martin, Georg Stadler +1
We address the numerical solution of infinite-dimensional inverse problems in the framework of Bayesian inference. In the Part I companion to this paper (arXiv.org:1308.1313), we c…
A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized -sparsification
Alen Alexanderian, Noemi Petra, Georg Stadler +1
We present an efficient method for computing A-optimal experimental designs for infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PD…