The position taken in this collection of pedagogically written
essays is that conjugate gradient algorithms and finite element
methods complement each other extremely well.
Via their combinations practitioners have been able to solve
complicated, direct and inverse, multidemensional problems modeled
by ordinary or partial differential equations and inequalities, not
necessarily linear, optimal control and optimal design being part
of these problems.
The aim of this book is to present both methods in the context
of complicated problems modeled by linear and nonlinear partial
differential equations, to provide an in-depth discussion on their
implementation aspects. The authors show that conjugate gradient
methods and finite element methods apply to the solution of
real-life problems. They address graduate students as well as
experts in scientific computing.
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