Finite Element Methods with B-Splines
By addebook • Nov 20th, 2008 • Category: Mathematics •
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Finite Element Methods with B-Splines (Frontiers in Applied Mathematics)
Finite Element Methods with B-Splines (Frontiers in Applied Mathematics)
By Klaus Höllig
Publisher: Society for Industrial Mathematics
Number Of Pages: 125
Publication Date: 2003-01-22
ISBN-10 / ASIN: 0898715334
ISBN-13 / EAN: 9780898715330
Binding: Hardcover
The finite element method (FEM) has become the most widely accepted general-purpose technique for numerical simulations in engineering and applied mathematics. Principal applications arise in continuum mechanics, fluid flow, thermodynamics, and field theory. In these areas, computational methods are essential and benefit strongly from the enormous advances in computer technology. B-splines play an important role in approximation and geometric modeling. They are used in data fitting, computer-aided design (CAD), automated manufacturing (CAM), and computer graphics. Finite Element Methods with B-Splines describes new weighted approximation techniques, combining the computational advantages of B-splines and standard finite elements. In particular, no grid generation is necessary, which eliminates a difficult and often time-consuming preprocessing step. The meshless methods are very efficient and yield highly accurate solutions with relatively few parameters. This is illustrated for typical boundary value problems in fluid flow, heat conduction, and elasticity.
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