49 citations · 137 across the 15 of their papers we have counts for
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math.NA2018
Static condensation optimal port/interface reduction and error estimation for structural health monitoring
Kathrin Smetana
Having the application in structural health monitoring in mind, we propose reduced port spaces that exhibit an exponential convergence for static condensation procedures on structu…
math.NA2018★ 21 cited
Randomized residual-based error estimators for parametrized equations
Kathrin Smetana, Olivier Zahm, Anthony T Patera
We propose a randomized a posteriori error estimator for reduced order approximations of parametrized (partial) differential equations. The error estimator has several important pr…
math.NA2018★ 28 cited
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods
Julia Brunken, Kathrin Smetana, Karsten Urban
We consider ultraweak variational formulations for (parametrized) linear first order transport equations in time and/or space. Computationally feasible pairs of optimally stable tr…