DMCA
Periodic Boundary Conditions and ∫ ũ = 0
by
Lars Ole Schwen
,
Advisor Prof
,
Dr. Martin Rumpf
,
Implementation Of Cell Problems
BibTeX
@MISC{Schwen_periodicboundary,
author = {Lars Ole Schwen and Advisor Prof and Dr. Martin Rumpf and Implementation Of Cell Problems},
title = {Periodic Boundary Conditions and ∫ ũ = 0},
year = {}
}
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Abstract
Let Ψ be a big (possibly infinite) domain divided into periodic cells Ω. Consider the Ω-periodic functions Φ, a levelset function describing an object, f a source term and A a material coefficient of the object. We are then interested in an “effective ” or “homogenized ” macroscopic material coefficient tensor ĀΩ. Linear Elasticity − div (AEu(x)) = f(x) • u: Ψ → R3 is the displacement,
