4 papers · 1 filter
A Reduced Order Modeling Method with Variable-Separation-Based Domain Decomposition for Parametric Dynamical Systems
Yuming Ba, Liang Chen, Yaru Chen +1
This paper proposes a model order reduction method for a class of parametric dynamical systems. Using a temporal Fourier transform, we reformulate these systems into complex-valued…
A parallel solver for random input problems via Karhunen-Loève expansion and diagonalized coarse grid correction
Dou Dai, Qiuqi Li, Huailing Song
This paper is dedicated to enhancing the computational efficiency of traditional parallel-in-time methods for solving stochastic initial-value problems. The standard parareal algor…
A Randomized GMsFEM with Data-Driven Predictors for Parametric Flow Problems in Multiscale Heterogeneous Media
Wing Tat Leung, Qiuqi Li, Songwei Liu
In this paper, we propose a randomized generalized multiscale finite element method (Randomized GMsFEM) for flow problems with parameterized inputs and high-contrast heterogeneous…
A Dynamical Variable-separation Method for Parameter-dependent Dynamical Systems
Liang Chen, Yaru Chen, Qiuqi Li +1
This paper proposes a dynamical Variable-separation method for solving parameter-dependent dynamical systems. To achieve this, we establish a dynamical low-rank approximation for t…