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Partition of Unity Methods (Hardcover)
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Partition of Unity Methods (Hardcover)
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First book to offer a guide to the foundations of the XFEM and its
implementation A revolution similar to that initiated by the FEM is
taking place through the XFEM, which is already implemented in
leading commercial packages (ABAQUS, ANSYS, etc.) that are taught
at undergraduate and post-graduate levels and to industrial
end-users. XFEM provides a detailed overview of the basics around
the newly introduced extended finite element method for
applications in solving moving boundary problems. XFEM is
introduced naturally as an extension of FEM, through simple one
dimensional examples which then allow the introduction of
higher-dimensional problems. Throughout the book, each key concept
is highlighted by the corresponding piece of MATLAB code which is
provided via an accompanying web portal. Uniquely, this portal
allows readers to obtain real-time feedback and help from an
existing community of more than 130 researchers and industrialists.
Demystifies the theory behind XFEM and makes it accessible to all
with previous knowledge of the FEM Provides a simple introduction
to XFEM but also provides a range of tools which the reader can
build upon to take on a large breadth of more complex problems.
Presents each key theoretical concept in parallel with its
implementational aspects in the form of simple MATLAB routines
provided along with the book via an interactive companion website
and portal Provides a detailed account of applications of XFEM to
fracture mechanics, including techniques absent from current
literature
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