منابع مشابه
Generalized Multiscale Finite Element Methods (GMsFEM)
Article history: Received 8 September 2012 Received in revised form 18 April 2013 Accepted 24 April 2013 Available online 22 May 2013
متن کاملAdaptive multiscale model reduction with Generalized Multiscale Finite Element Methods
In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related methods and is not intended to be comprehensive. We present a general adaptive multiscale model reduction framework, the Generalized Multiscale Finite Element Me...
متن کاملResidual-driven online generalized multiscale finite element methods
The construction of local reduced-order models via multiscale basis functions has been an area of active research. In this paper, we propose online multiscale basis functions which are constructed using the offline space and the current residual. Online multiscale basis functions are constructed adaptively in some selected regions based on our error indicators. We derive an error estimator whic...
متن کاملMultiscale Empirical Interpolation for Solving Nonlinear PDEs using Generalized Multiscale Finite Element Methods
In this paper, we propose a multiscale empirical interpolation method for solving nonlinear multiscale partial differential equations. The proposed method combines empirical interpolation techniques and local multiscale methods, such as the Generalized Multiscale Finite Element Method (GMsFEM). To solve nonlinear equations, the GMsFEM is used to represent the solution on a coarse grid with mult...
متن کاملResonance Error in Multiscale Finite Element Methods
A multiscale nite element method (MFEM) 9, 7] has been introduced to capture the large scale solutions of elliptic equations with highly oscillatory coeecients. This is accomplished by constructing the multiscale base functions from the local solutions of the elliptic operator. Our previous study reveals that the leading order error in this approach is caused by the \resonant sampling", which l...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2013
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2013.04.045