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20112026
most citedGeneralized Multiscale Finite Element Methods (GMsFEM)

719 citations · 2.3k across the 72 of their papers we have counts for

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Showing 2020Show all

8 papers · 1 filter

cs.LG2020★ 14 cited

Multi-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem

Eric Chung, Yalchin Efendiev, Wing Tat Leung +2

In this work, we propose a multi-agent actor-critic reinforcement learning (RL) algorithm to accelerate the multi-level Monte Carlo Markov Chain (MCMC) sampling algorithms. The pol…

math.NA2020★ 12 cited

Temporal Splitting algorithms for non-stationary multiscale problems

Yalchin Efendiev, Sai-Mang Pun, Petr N. Vabishchevich

In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multisca…

math.NA2020★ 14 cited

Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries

Maria Vasilyeva, Valentin Alekseev, Eric T. Chung +1

In this paper, we consider flow and transport problems in thin domains. The mathematical model considered in the paper is described by a system of equations for velocity, pressure,…

math.NA2020

Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media

Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +1

In this work, we propose a local multiscale model reduction approach for the time-domain scalar wave equation in a heterogenous media. A fine mesh is used to capture the heterogene…

math.NA2020★ 24 cited

Computational multiscale methods for quasi-gas dynamic equations

Boris Chetverushkin, Eric Chung, Yalchin Efendiev +2

In this paper, we consider the quasi-gas-dynamic (QGD) model in a multiscale environment. The model equations can be regarded as a hyperbolic regularization and are derived from ki…

math.NA2020

Splitting methods for solution decomposition in nonstationary problems

Yalchin Efendiev, Petr N. Vabishchevich

In approximating solutions of nonstationary problems, various approaches are used to compute the solution at a new time level from a number of simpler (sub-)problems. Among these a…

math.NA2020★ 4 cited

Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations

Zecheng Zhang, Eric Chung, Yalchin Efendiev +1

In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the Gener…

math.NA2020

Nonlocal multicontinua with Representative Volume Elements. Bridging separable and non-separable scales

Eric T. Chung, Y. Efendiev, Wing T. Leung +1

Recently, several approaches for multiscale simulations for problems with high contrast and no scale separation are introduced. Among them is the nonlocal multicontinua (NLMC) meth…