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Multiscale Asymptotic Expansion and Finite Element Methods For the Mixed Boundary Value Problems of Second Order Elliptic Equation in Perforated Domains
Homogenization Multiscale asymptotic expansion Elliptic equationof second order with rapidly oscillating coefficients Perforated domain
2012/8/8
In this paper, we will discuss the mixed boundary value problems for
the second order elliptic equation with rapidly oscillating coefficients in perforated
domains, and will present the higher-order...
Least-Squares Mixed Finite Element Methods for the Incompressible Magnetohydrodynamic Equations
2007/12/12
Least-squares mixed finite element methods are proposed and analyzed for the incompressible magnetohydrodynamic equations, where the two vorticities are additionally introduced as independent variable...