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Elliptic Equations in High-Contrast Media and Applications
Leonardo A. Poveda
In this manuscript we review some recent results about approximation of solutions of elliptic problems with high-contrast coefficients. In particular, we detail the derivation of a…
Asymptotic Expansions for High-Contrast Linear Elasticity
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous ela…
Localized Harmonic Characteristic Basis Functions for Multiscale Finite Element Methods
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We solve elliptic systems of equations posed on highly heterogeneous materials. Examples of this class of problems are composite structures and geological processes. We focus on a…