Finite element methods with B-splines [electronic resource] / Klaus Höllig.

Author
Höllig, Klaus [Browse]
Format
Book
Language
English
Published/​Created
Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), c2003.
Description
1 online resource (x, 145 p. : ill.)

Details

Subject(s)
Series
Frontiers in applied mathematics [More in this series]
Summary note
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.
Bibliographic references
Includes bibliographical references (p. 137-142) and index.
Source of description
Description based on title page of print version.
Contents
  • Introduction
  • Basic Finite Element Concepts
  • B-Splines
  • Finite Element Bases
  • Approximation with Weighted Splines
  • Boundary Value Problems
  • Multigrid Methods
  • Implementation
  • Appendix
  • Notation and Symbols.
ISBN
  • 9781613446676 (electronic bk.)
  • 1613446675 (electronic bk.)
  • 9780898717532 (electronic bk.)
  • 0898717531 (electronic bk.)
  • 9780898715330
  • 0898715334
Publisher no.
FR26
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