- Description
- 1 online resource (x, 145 pages : illustrations.
- Corporate Author
- Society for Industrial and Applied Mathematics.
- Notes
- 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.Includes bibliographical references (pages 137-142) and index.Introduction -- Basic Finite Element Concepts -- B-Splines -- Finite Element Bases -- Approximation with Weighted Splines -- Boundary Value Problems -- Multigrid Methods -- Implementation -- Appendix -- Notation and Symbols.