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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...
Combined boundary value problems for the nonhomogeneous tri-analytic equation
Boundary value problems tri-analytic equations solvability conditions
2011/7/28
Abstract: In the present article we present a particular combination of boundary problems for the inhomogeneous tri-analytic equation: the Neumann-(Dirichlet-Neuman) problem and the (Dirichlet-Neumann...
Boundary value problems for the stationary axisymmetric Einstein equations: a rotating disk
Einsteins equations boundary-value problem integrable system rotating disk
2010/4/7
The stationary, axisymmetric reduction of the vacuum Einstein equations, the so-called Ernst equation, is an integrable nonlinear PDE in two dimensions. There now exists a general method for analyzing...