Two-scale convergence of Stekloff eigenvalue problems in perforated domains.
Douanla, Hermann (2010)
Boundary Value Problems [electronic only]
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Displaying similar documents to “Worst scenario method in homogenization. Linear case”
Two-scale convergence of Stekloff eigenvalue problems in perforated domains.
Asymptotic study of lattice structures with damping.
Banks, H.T., Cioranescu, D., Miller, R.E. (1996)
Portugaliae Mathematica
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Elastic behavior of a two--dimensional lattice beam.
Challal, S. (1999)
Rendiconti del Seminario Matematico
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Homogenization of the Maxwell equations: Case I. Linear theory
Niklas Wellander (2001)
Applications of Mathematics
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The Maxwell equations in a heterogeneous medium are studied. Nguetseng’s method of two-scale convergence is applied to homogenize and prove corrector results for the Maxwell equations with inhomogeneous initial conditions. Compactness results, of two-scale type, needed for the homogenization of the Maxwell equations are proved.
Homogenization with uncertain input parameters
Luděk Nechvátal (2010)
Mathematica Bohemica
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We homogenize a class of nonlinear differential equations set in highly heterogeneous media. Contrary to the usual approach, the coefficients in the equation characterizing the material properties are supposed to be uncertain functions from a given set of admissible data. The problem with uncertainties is treated by means of the worst scenario method, when we look for a solution which is critical in some sense.
On general two-scale convergence and its application to the characterization of -limits
Jeanette Silfver (2007)
Applications of Mathematics
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We characterize some -limits using two-scale techniques and investigate a method to detect deviations from the arithmetic mean in the obtained -limit provided no periodicity assumptions are involved. We also prove some results on the properties of generalized two-scale convergence.