20 citations · 20 across the 8 of their papers we have counts for
8 papers
Reduced Order Modeling and Applications to Inverse State Estimation
Olga Mula, Agustín Somacal
Solving parametric partial differential equations (PDEs) repeatedly for many parameter values,as needed in optimal control, uncertainty quantification, and inverse problems, is oft…
State estimation of urban air pollution with statistical, physical, and super-learning graph models
Matthieu Dolbeault, Olga Mula, Agustín Somacal
We consider the problem of real-time reconstruction of urban air pollution maps. The task is challenging due to the heterogeneous sources of available data, the scarcity of direct…
High order recovery of geometric interfaces from cell-average data
Albert Cohen, Olga Mula, Agustín Somacal
We consider the problem of recovering characteristic functions from cell-average data on a coarse grid, and where is a compact set of . This task arises…
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation
Wolfgang Dahmen, Olga Mula
The criticality problem in nuclear engineering asks for the principal eigenpair of a Boltzmann operator describing neutron transport in a reactor core. Being able to reliably desig…
Nonlinear approximation spaces for inverse problems
Albert Cohen, Matthieu Dolbeault, Olga Mula +1
This paper is concerned with the ubiquitous inverse problem of recovering an unknown function u from finitely many measurements possibly affected by noise. In recent years, inversi…
Nonlinear reduced models for state and parameter estimation
Albert Cohen, Wolfgang Dahmen, Olga Mula +1
State estimation aims at approximately reconstructing the solution to a parametrized partial differential equation from linear measurements, when the parameter vector i…
Optimal reduced model algorithms for data-based state estimation
Albert Cohen, Wolfgang Dahmen, Ron DeVore +3
Reduced model spaces, such as reduced basis and polynomial chaos, are linear spaces of finite dimension which are designed for the efficient approximation of families par…
An Adaptive Nested Source Term Iteration for Radiative Transfer Equations
Wolfgang Dahmen, Felix Gruber, Olga Mula
We propose a new approach to the numerical solution of radiative transfer equations with certified a posteriori error bounds. A key role is played by stable Petrov--Galerkin type v…