Institut für Numerische Simulation (INS): Auflistung Institut für Numerische Simulation (INS) nach Autor "Brown, Donald L."
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A generalized multiscale finite element method for poroelasticity problems I: linear problems
Brown, Donald L.; Vasilyeva, Maria (2015-04)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 challenges associated with mechanics and flow ... -
A multiscale finite element method for Neumann problems in porous microstructures
Brown, Donald L.; Taralova, Vasilena (2015-01)In this paper we develop and analyze a Multiscale Finite Element Method (MsFEM) for problems in porous microstructures. By solving local problems throughout the domain we are able to construct a multiscale basis that can ... -
A multiscale method for porous microstructures
Brown, Donald L.; Peterseim, Daniel (2014-11)In this paper we develop a multiscale method to solve problems in complicated porous microstructures with Neumann boundary conditions. By using a coarse-grid quasi-interpolation operator to define a fine detail space and ... -
Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations
Brown, Donald L.; Gallistl, Dietmar; Peterseim, Daniel (2015-12)This paper presents a multiscale Petrov-Galerkin finite element method for time-harmonic acoustic scattering problems with heterogeneous coefficients in the high-frequency regime. We show that the method is pollution-free ...