Finite element methods with B-splines

• Main Author: Höllig, Klaus.
• Corporate Author: Society for Industrial and Applied Mathematics.
• Format: eBook
• Language: English
• Published: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), ©2003.
• Series: Frontiers in applied mathematics.
• Subjects: Structural analysis (Engineering); Finite element method.; Spline theory.; elektronické knihy; electronic books
• ISBN: 9781613446676; 1613446675; 9780898717532; 0898717531; 9780898715330; 0898715334; 9780898716993
• Physical Description: 1 online resource (x, 145 pages) : illustrations.
• Access: Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty

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. Topics discussed by the author include basic finite element theory, algorithms for B-splines, weighted bases, stability and error estimates, multigrid techniques, applications, and numerical examples.