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The Isogeometric Boundary Element Method (Hardcover, 1st ed. 2020)
Loot Price: R2,836
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The Isogeometric Boundary Element Method (Hardcover, 1st ed. 2020)
Series: Lecture Notes in Applied and Computational Mechanics, 90
Expected to ship within 10 - 15 working days
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This book discusses the introduction of isogeometric technology to
the boundary element method (BEM) in order to establish an improved
link between simulation and computer aided design (CAD) that does
not require mesh generation. In the isogeometric BEM, non-uniform
rational B-splines replace the Lagrange polynomials used in
conventional BEM. This may seem a trivial exercise, but if
implemented rigorously, it has profound implications for the
programming, resulting in software that is extremely user friendly
and efficient. The BEM is ideally suited for linking with CAD, as
both rely on the definition of objects by boundary representation.
The book shows how the isogeometric philosophy can be implemented
and how its benefits can be maximised with a minimum of user
effort. Using several examples, ranging from potential problems to
elasticity, it demonstrates that the isogeometric approach results
in a drastic reduction in the number of unknowns and an increase in
the quality of the results. In some cases even exact solutions
without refinement are possible. The book also presents a number of
practical applications, demonstrating that the development is not
only of academic interest. It then elegantly addresses
heterogeneous and non-linear problems using isogeometric concepts,
and tests them on several examples, including a severely non-linear
problem in viscous flow. The book makes a significant contribution
towards a seamless integration of CAD and simulation, which
eliminates the need for tedious mesh generation and provides
high-quality results with minimum user intervention and computing.
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