41 citations · 177 across the 26 of their papers we have counts for
3 papers · 1 filter
Conformally Mapped Polynomial Chaos Expansions for Maxwell's Source Problem with Random Input Data
Niklas Georg, Ulrich Römer
Generalized Polynomial Chaos (gPC) expansions are well established for forward uncertainty propagation in many application areas. Although the associated computational effort may b…
Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities
Tymofiy Gerasimov, Ulrich Römer, Jaroslav Vondřejc +2
In variational phase-field modeling of brittle fracture, the functional to be minimized is not convex, so that the necessary stationarity conditions of the functional may admit mul…
Goal-oriented a posteriori estimation of numerical errors in the solution of multiphysics systems
Mahesh Narayanamurthi, Ulrich Römer, Adrian Sandu
This paper develops a general methodology for a posteriori error estimation in time-dependent multiphysics numerical simulations. The methodology builds upon the generalized-struct…