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Biharmonic equation in a highly oscillating domain and homogenization of an associated control problem
, B.C. Sardar
Published in Taylor and Francis Ltd.
2019
Volume: 98
   
Issue: 16
Pages: 2783 - 2801
Abstract
We consider a Dirichlet boundary control problem posed in an oscillating boundary domain governed by a biharmonic equation. Homogenization of a PDE with a non-homogeneous Dirichlet boundary condition on the oscillating boundary is one of the hardest problems. Here, we study the homogenization of the problem by converting it into an equivalent interior control problem. The convergence of the optimal solution is studied using periodic unfolding operator. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.
About the journal
JournalData powered by TypesetApplicable Analysis
PublisherData powered by TypesetTaylor and Francis Ltd.
ISSN00036811