17 citations · 47 across the 7 of their papers we have counts for
8 papers
Multicontinuum Homogenization for Poroelasticity Model
Dmitry Ammosov, Mohammed Al-Kobaisi, Yalchin Efendiev
In this paper, we derive multicontinuum poroelasticity models using the multicontinuum homogenization method. Poroelasticity models are widely used in many areas of science and eng…
Locally Subspace-Informed Neural Operators for Efficient Multiscale PDE Solving
Alexander Rudikov, Vladimir Fanaskov, Sergei Stepanov +4
Neural operators (NOs) struggle with high-contrast multiscale partial differential equations (PDEs), where fine-scale heterogeneities cause large errors. To address this, we use th…
Identity-Based Language Shift Modeling
Dmitry Ammosov, Yalchin Efendiev, Lenore A. Grenoble
The preservation of endangered languages is a widely discussed issue nowadays. Languages represent essential cultural heritage and can provide valuable botanical, biological, and g…
Propagating terrace in a two-tubes model of gravitational fingering
Yulia Petrova, Sergey Tikhomirov, Yalchin Efendiev
We study a semi-discrete model for the two-dimensional incompressible porous medium (IPM) equation describing gravitational fingering phenomenon. The model consists of a system of…
Cluster-based Generalized Multiscale Finite Element Method for elliptic PDEs with random coefficients
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
We propose a generalized multiscale finite element method (GMsFEM) based on clustering algorithm to study the elliptic PDEs with random coefficients in the multi-query setting. Our…
Bayesian and Variational Bayesian approaches for flows in heterogenous random media
Keren Yang, Nilabja Guha, Yalchin Efendiev +1
In this paper, we study porous media flows in heterogeneous stochastic media. We propose an efficient forward simulation technique that is tailored for variational Bayesian inversi…
Multiscale model reduction for shale gas transport in fractured media
I. Y. Akkutlu, Yalchin Efendiev, Maria Vasilyeva
In this paper, we develop a multiscale model reduction technique that describes shale gas transport in fractured media. Due to the pore-scale heterogeneities and processes, we use…
Multiscale Empirical Interpolation for Solving Nonlinear PDEs using Generalized Multiscale Finite Element Methods
Victor Calo, Yalchin Efendiev, Juan Galvis +1
In this paper, we propose a multiscale empirical interpolation method for solving nonlinear multiscale partial differential equations. The proposed method combines empirical interp…