306 citations · 668 across the 30 of their papers we have counts for
3 papers · 2 filters
A priori analysis of a tensor ROM for parameter dependent parabolic problems
Alexander V. Mamonov, Maxim A. Olshanskii
A space-time-parameters structure of parametric parabolic PDEs motivates the application of tensor methods to define reduced order models (ROMs). Within a tensor-based ROM framewor…
Tensorial parametric model order reduction of nonlinear dynamical systems
Alexander V. Mamonov, Maxim A. Olshanskii
For a nonlinear dynamical system that depends on parameters, the paper introduces a novel tensorial reduced-order model (TROM). The reduced model is projection-based, and for syste…
When data driven reduced order modeling meets full waveform inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
Waveform inversion is concerned with estimating a heterogeneous medium, modeled by variable coefficients of wave equations, using sources that emit probing signals and receivers th…