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5 papers · 2 filters
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…
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…
Factorized schemes of second-order accuracy for numerical solving unsteady problems
P. N. Vabishchevich
Schemes with the second-order approximation in time are considered for numerical solving the Cauchy problem for an evolutionary equation of first order with a self-adjoint operator…
Generalized Multiscale Finite Element Methods for problems in perforated heterogeneous domains
Eric T. Chung, Yalchin Efendiev, Guanglian Li +1
Complex processes in perforated domains occur in many real-world applications. These problems are typically characterized by physical processes in domains with multiple scales (see…