HOMOGENIZATION OF A PROBLEM FOR AN ELLIPTIC EQUATION WITH A MICROPERIODIC COEFFICIENT CONTINUOUSLY DIFFERENTIABLE BY PARTS AND SUBJECT TO DISCONTINUITY CONDITIONS
DOI:
https://doi.org/10.34179/revisem.v9i2.19996Abstract
It is described the application of the asymptotic homogenization method to a boundary-value problem for an elliptic equation with rapidly oscillating twice piecewise differentiable coefficient and discontinuity conditions, and the resulting formal asymptotic solution which approximates the generalized solution of the problem.
Keywords: Asymptotic homogenization method, Formal asymptotic solution, Homogenized problem, Local problem, Effective coefficient.
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Published
2024-09-04
How to Cite
Reis Andrade, A. E., da Rocha, F. C., Pérez-Fernandez, L., & Bravo Castillero, J. (2024). HOMOGENIZATION OF A PROBLEM FOR AN ELLIPTIC EQUATION WITH A MICROPERIODIC COEFFICIENT CONTINUOUSLY DIFFERENTIABLE BY PARTS AND SUBJECT TO DISCONTINUITY CONDITIONS. Revista Sergipana De Matemática E Educação Matemática, 9(2), 103–118. https://doi.org/10.34179/revisem.v9i2.19996
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Section
Mathematics
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Copyright (c) 2024 Arthur Emanoel Reis Andrade, Fabio Carlos da Rocha, Leslie Darien Pérez Fernández, Julián Bravo Castillero
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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