Georg Stadler

TL;DR: Computational advances enable the modeling of global geophysical processes to the scale of a kilometer and reveal unexpected insights into localized processes, such as subduction zone mechanics, thermal anomalies in the lower mantle, and the speed of movement of oceanic plates.

TL;DR: For solving the non-differentiable optimal control problem, a semismooth Newton method is proposed that can be stated and analyzed in function space and converges locally with a superlinear rate.

TL;DR: A high-order discontinuous Galerkin (dG) scheme for the numerical solution of three-dimensional wave propagation problems in coupled elastic-acoustic media is introduced, and consistency and stability of the proposed dG scheme are proved.

TL;DR: In this article, the uncertainty in the numerical solution of linearized infinite-dimensional statistical inverse problems is estimated using the Bayesian inference formulation, where the prior probability distribution is chosen appropriately in order to guarantee wellposedness of the inverse problem and facilitate computation of the posterior.

TL;DR: Bui-Thanh et al. as mentioned in this paper considered the numerical solution of infinite-dimensional inverse problems in the framework of Bayesian inference and used a Markov chain Monte Carlo (MCMC) sampling method.