Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),
Date of Publication, Distribution, etc.
c2003.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (x, 145 p. : ill.)
SERIES
Series Title
Frontiers in applied mathematics.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 137-142) and index.
CONTENTS NOTE
Text of Note
Introduction -- Basic Finite Element Concepts -- B-Splines -- Finite Element Bases -- Approximation with Weighted Splines -- Boundary Value Problems -- Multigrid Methods -- Implementation -- Appendix -- Notation and Symbols.
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SUMMARY OR ABSTRACT
Text of 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.