33 citations · 114 across the 14 of their papers we have counts for
5 papers · 1 filter
A-optimal encoding weights for nonlinear inverse problems, with applications to the Helmholtz inverse problem
Benjamin Crestel, Alen Alexanderian, Georg Stadler +1
The computational cost of solving an inverse problem governed by PDEs, using multiple experiments, increases linearly with the number of experiments. A recently proposed method to…
Research and Education in Computational Science and Engineering
Ulrich Rüde, Karen Willcox, Lois Curfman McInnes +30
Over the past two decades the field of computational science and engineering (CSE) has penetrated both basic and applied research in academia, industry, and laboratories to advance…
Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity
Johann Rudi, Georg Stadler, Omar Ghattas
We present a weighted BFBT approximation (w-BFBT) to the inverse Schur complement of a Stokes system with highly heterogeneous viscosity. When used as part of a Schur complement-ba…
A data scalable augmented Lagrangian KKT preconditioner for large scale inverse problems
Nick Alger, Umberto Villa, Tan Bui-Thanh +1
Current state of the art preconditioners for the reduced Hessian and the Karush-Kuhn-Tucker (KKT) operator for large scale inverse problems are typically based on approximating the…
A randomized maximum a posterior method for posterior sampling of high dimensional nonlinear Bayesian inverse problems
Kainan Wang, Tan Bui-Thanh, Omar Ghattas
We present a randomized maximum a posteriori (rMAP) method for generating approximate samples of posteriors in high dimensional Bayesian inverse problems governed by large-scale fo…