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- Texas A&M UniversityUS27 papers
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8 papers · 1 filter
Numerical simulation of the stress-strain state of the dental system
Sergey V. Lemeshevsky, Semion A. Naumovich, Sergey S. Naumovich +2
We present mathematical models, computational algorithms and software, which can be used for prediction of results of prosthetic treatment. More interest issue is biomechanics of t…
A Generalized Multiscale Finite Element Method for Poroelasticity Problems I: Linear Problems
Donald L. Brown, Maria Vasilyeva
In this paper, we consider the numerical solution of poroelasticity problems that are of Biot type and develop a general algorithm for solving coupled systems. We discuss the chall…
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…
On the mean field games with common noise and the McKean-Vlasov SPDEs
Vassili Kolokoltsov, Marianna Troeva
We formulate the MFG limit for interacting agents with a common noise as a single quasi-linear deterministic infinite-dimensional partial differential second order backward equ…
Sparse Generalized Multiscale Finite Element Methods and their applications
Eric Chung, Yalchin Efendiev, Wing Tat Leung +1
In a number of previous papers, local (coarse grid) multiscale model reduction techniques are developed using a Generalized Multiscale Finite Element Method. In these approaches, m…
Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts
Alexander G. Churbanov, Petr N. Vabishchevich
The models that are based of fractional derivatives should be highlighted among promising new models to describe turbulent fluid flows. In the present work, a steady-state flow in…