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This book introduces, in an accessible way, the basic elements of
Numerical PDE-Constrained Optimization, from the derivation of
optimality conditions to the design of solution algorithms.
Numerical optimization methods in function-spaces and their
application to PDE-constrained problems are carefully presented.
The developed results are illustrated with several examples,
including linear and nonlinear ones. In addition, MATLAB codes, for
representative problems, are included. Furthermore, recent results
in the emerging field of nonsmooth numerical PDE constrained
optimization are also covered. The book provides an overview on the
derivation of optimality conditions and on some solution algorithms
for problems involving bound constraints, state-constraints, sparse
cost functionals and variational inequality constraints.
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