Browsing Division of Physical and Mathematical Sciences by Subject "partial differential equations"
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Homogenization of certain PDEs and associated optimal control problems on various rough domains
This thesis is devoted to the study of the asymptotic behavior of partial differential equations (PDEs) and associated boundary and interior optimal control problems in various oscillatory domains. The present thesis ... -
A Study of Convergence, Quasi-Optimality, and Error Analysis of Adaptive Finite Element Methods for a class of PDEs
The central objective of this thesis is to carry out a rigorous analysis of finite element methods for second-order linear elliptic PDEs and for a variety of optimal control problems governed by second-order linear elliptic ...