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.

An exploration of the new weighted approximation techniques which result from the combination of the finite element method and B-splines.

About the Author
Klaus Hoellig gained his PhD from the University of Michigan at Ann Arbor. Since then he has worked at Purdue University and the University of Wisconsin at Madison. He is currently a professor at the University of Stuttgart.


Book Information
ISBN 9780898716993
Author Klaus Hoellig
Format Paperback
Page Count 156
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 290g
Dimensions(mm) 254mm * 178mm * 8mm