78 citations · 95 across the 7 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.NA2015★ 2 cited
Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations
Donald L. Brown, Dietmar Gallistl, Daniel Peterseim
This paper presents a multiscale Petrov-Galerkin finite element method for time-harmonic acoustic scattering problems with heterogeneous coefficients in the high-frequency regime.…
math.NA2015
A Generalized Multiscale Finite Element Method for Poroelasticity Problems II: Nonlinear Coupling
Donald L. Brown, Maria Vasilyeva
In this paper, we consider the numerical solution of some nonlinear poroelasticity problems that are of Biot type and develop a general algorithm for solving nonlinear coupled syst…
math.NA2015
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…