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BL
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| Record Number
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607339
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| Doc. No
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dltt
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| Main Entry
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Höllig, Klaus.
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| Title & Author
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Finite element methods with B-splines\ Klaus Höllig.
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| Publication Statement
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Philadelphia, Pa. :: Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),, c2003.
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| Series Statement
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Frontiers in applied mathematics.
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| Page. NO
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1 online resource (x, 145 p. : ill.)
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| ISBN
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9781613446676 (electronic bk.)
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: 1613446675 (electronic bk.)
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: 9780898717532 (electronic bk.)
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: 0898717531 (electronic bk.)
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: 9780898715330
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9780898716993 (print)
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: 0898715334
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0898715334 (print)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 137-142) and index.
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| Contents
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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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| Abstract
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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.
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| Subject
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Structural analysis (Engineering)
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| Subject
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Finite element method.
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| Subject
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Spline theory.
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| Dewey Classification
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620/.001/51535
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| LC Classification
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TA645.H63 2003eb
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| Added Entry
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Society for Industrial and Applied Mathematics.
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Knovel (Firm)
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