Generalized multiscale finite element method for elasticity equations
نویسندگان
چکیده
منابع مشابه
Generalized Multiscale Finite Element Method for Elasticity Equations
In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by elastic wave propagation in subsurface where the subsurface properties can be highly heterogeneous and have high contrast. We present the construction of main ingredients for GMsFEM such as the snapshot space and o in...
متن کاملAn Immersed Finite Element Method for Elasticity Equations with Interfaces
Abstract. The immersed finite element method based on a uniform Cartesian mesh has been developed for the linear elasticity equations with discontinuous coefficients across an interface in this paper. The interface does not have to be aligned with the mesh. The main idea is to modify the basis function over those triangles in which the interface cuts through so that the natural interface condit...
متن کاملA Generalized Finite Element Method for Multiscale Simulations
This report focuses on recent advances of the Generalized Finite Element Method (GFEM) for multiscale simulations. This method is based on the solution of interdependent global and local scale problems, and can be applied to a broad class of multiscale problems of relevance to the United States Air Force. The local problems focus on the resolution of fine scale features of the solution while th...
متن کاملMultiscale Finite Element Methods for Elliptic Equations
Here and throughout this chapter, the Einstein convention for repeated indices are assumed. The problem (9.1) a model multiscale problem which arises in the modeling of composite materials and the flow transport in heterogeneous porous media. The main difficulty in solving it by standard finite element method is that when ε is small, the underlying finite element mesh h must be much less than ε...
متن کاملOversampling for the Multiscale Finite Element Method
This paper reviews standard oversampling strategies as performed in the multiscale finite element method (MsFEM). Common to those approaches is that the oversampling is performed in the full space restricted to a patch including coarse finite element functions. We suggest, by contrast, performing local computations with the additional constraint that trial and test functions be linear independe...
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: GEM - International Journal on Geomathematics
سال: 2014
ISSN: 1869-2672,1869-2680
DOI: 10.1007/s13137-014-0066-0