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Isogeometric analysis (IGA) consists of using the same higher-order
and smooth spline functions for the representation of geometry in
Computer Aided Design as for the approximation of solution fields
in Finite Element Analysis. Now, almost twenty years after its
creation, substantial works are being reported in IGA, making it
very competitive in scientific computing. This book proposes to use
IGA jointly with standard finite element methods (FEM), presenting
IGA as a projection of FEM on a more regular reduced basis. By
shedding new light on how IGA relates to FEM, we can see how IGA
can be implemented on top of an FE code in order to improve the
solution of problems that require more regularity. This is
illustrated by using IGA with FEM in a non-invasive fashion to
perform efficient and robust multiscale global/local simulations in
solid mechanics. Furthermore, we show that IGA can regularize the
inverse problem of FE digital image correlation in experimental
mechanics.
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