171 citations · 689 across the 32 of their papers we have counts for
4 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…
Mitigating the Influence of the Boundary on PDE-based Covariance Operators
Yair Daon, Georg Stadler
Gaussian random fields over infinite-dimensional Hilbert spaces require the definition of appropriate covariance operators. The use of elliptic PDE operators to construct covarianc…
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…
Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations
Alen Alexanderian, Noemi Petra, Georg Stadler +1
We present a method for optimal control of systems governed by partial differential equations (PDEs) with uncertain parameter fields. We consider an objective function that involve…