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Books > Professional & Technical > Mechanical engineering & materials > Materials science
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Smoothed Point Interpolation Methods: G Space Theory And Weakened Weak Forms (Hardcover)
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Smoothed Point Interpolation Methods: G Space Theory And Weakened Weak Forms (Hardcover)
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Based on the widely used finite element method (FEM) and the latest
Meshfree methods, a next generation of numerical method called
Smoothed Point Interpolation Method (S-PIM) has been recently
developed. The S-PIM is an innovative and effective combination of
the FEM and the meshfree methods, and enables automation in
computation, modeling and simulations - one of the most important
features of the next generation methods. This important book
describes the various S-PIM models in a systematic, concise and
easy-to-understand manner. The underlying principles for the next
generation of computational methods, G space theory, novel weakened
weak (W2) formulations, techniques for shape functions, formulation
procedures, and implementation strategies are presented in detail.
Numerous examples are provided to demonstrate the efficiency and
accuracy of the S-PIM solutions in comparison with the FEM and
other existing methods. Effective techniques to compute solution
bounds employing both S-PIM and FEM are highlighted to obtain
certified solutions with both upper and lower bounds. The book also
presents a systematically way to conduct adaptive analysis for
solutions of desired accuracy using these bound properties, which
is another key feature of the next generation of computational
methods. This will benefit researchers, engineers and students who
are venturing into new areas of research and computer code
development.
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