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Finite Difference Approximation of Homogenization Problems for Elliptic Equations

✍ Scribed by Orive, Rafael; Zuazua, Enrique


Book ID
118211653
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
456 KB
Volume
4
Category
Article
ISSN
1540-3459

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We consider the finite element approximation of the boundary value problem where f2 is a two-or three-dimensional polyhedral domain and A(u) is a Lipschitz continuous function satisfying A(u)>~6>O. Under the assumption of the uniqueness of the weak solution, we can show the L °’ convergence of the