## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

CPAA

Some local and parallel algorithms for two-scale finite element
discretizations are proposed and analyzed in this paper for
elliptic boundary value problems. These algorithms are motivated
by the observation that, for a solution to some elliptic boundary
value problems, low frequency components can be approximated well
by a relatively coarse grid and high frequency components can be
computed on partially fine grids by some local procedure. A
theoretical tool for analyzing these algorithms is some recent
local error estimates for finite element approximations.

keywords:
tensor product
,
two-scale discretization.
,
localization
,
parallelization
,
Finite element

DCDS

In this paper, by using a trace theorem in the theory of functions of
bounded variation, we prove the existence of absolutely continuous invariant
measures for a class of piecewise expanding mappings of
general bounded domains in
any dimension.

## Year of publication

## Related Authors

## Related Keywords

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