Last edited by Brazuru
Wednesday, May 13, 2020 | History

8 edition of Finite element methods with B-splines found in the catalog.

Finite element methods with B-splines

by K. HoМ€llig

  • 322 Want to read
  • 6 Currently reading

Published by Society Industrial and Applied Mathematics in Philadelphia .
Written in English

    Subjects:
  • Structural analysis (Engineering),
  • Finite element method.,
  • Spline theory.

  • Edition Notes

    Includes bibliographical references (p. 137-142) and index.

    StatementKlaus Höllig.
    SeriesFrontiers in applied mathematics
    Classifications
    LC ClassificationsTA645 .H63 2003
    The Physical Object
    Paginationx, 145 p. :
    Number of Pages145
    ID Numbers
    Open LibraryOL17908369M
    ISBN 100898715334
    LC Control Number2002036509

    A useful balance of theory, applications, and real-world examples The Finite Element Method for Engineers, Fourth Edition presents a clear, easy-to-understand explanation of finite element fundamentals and enables readers to use the method in research and in solving practical, real-life problems. It develops the basic finite element method mathematical formulation, beginning with › books › about › The_Finite. Höllig K., Hörner J., Hoffacker A. () Finite Element Analysis with B-Splines: Weighted and Isogeometric Methods. In: Boissonnat JD. et al. (eds) Curves and Surfaces. Curves and Surfaces › chapter › › _

      Höllig, K., Hörner, J.: Programming finite element methods with B-splines. To appear in: Comput. Math. Appl., Special Issue on High-Order Finite Element and Isogeometric Methods (HOFEIM ) () Google Scholar › chapter › › _1. This book is available for preorder. This book is available for backorder. There are less than or equal to {{ vailable}} books remaining in › FR

    7. Discussion. Bicubic B-spline interpolation has been previously used for the finite element analysis of plates [5, 15] based on Galerkin-Ritz formulation, as well as in conjunction with collocation methods for potential problems [7, 10].In the advent of the isogeometric analysis [], the older piecewise interpolations have been substituted by knots and control points, but in some cases it › journals › jstruc › ›   15 Isogeometric Finite Element Analysis Basis Functions in Computer Aided Geometric Design Univariate B-splines Univariate NURBS Multivariate B-splines and NURBS Patches T-splines Isogeometric Finite Elements Bezier´ Element Representation Bezier´ Extraction › ebooks2 › engineering › civil › _nonlinear_finite_element.


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Finite element methods with B-splines by K. HoМ€llig Download PDF EPUB FB2

Slide Collection* The slides facilitate teaching courses on finite element methods based on the SIAM book. For each subsection, a pdf-file with a beamer presention of the main topics is provided (see the sample index for the slides corresponding to the first two chapters).

Moreover, a template explains how to generate additional presentations in the same › books › fr Browse Books. Home Browse by Title Books Finite Element Methods with B-Splines. Finite Element Methods with B-Splines January January Read More. Author: Klaus Hollig; Publisher: Society for Industrial and Applied Mathematics; University City Science Center Philadelphia, PA; › doi › book › › 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  › Books › Engineering & Transportation › Engineering. Finite Element Methods with B-Splines Details. This book 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 › web › toc.v › cid:kpFEMBS › viewerType:toc.

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 :// › doi › book › › Over the past decade, essentially two B-spline based techniques have been developed: finite element methods with web-splines (weighted extended B-splines) and isogeometric analysis, books, provide a comprehensive treatment of the relevant theory.

Which technique is best suited for a particular problem depends to some extent on the topological form of the simulation domain › science › article › pii › S Finite Element Methods with B-Splines 点击放大图片 出版社: Society for Industrial & Applied Mathematics,U.S. 作者: Hollig, Klaus 出版时间: 年01月01 日 10位国际标准书号: 13位国际标准书号(ISBN13 › › Bookhtm.

Höllig, Klaus, Finite Element Methods with B-Splines Stanley, Lisa G. and Stewart, Dawn L., Design Sensitivity Analysis: Computational Issues of Sensitivity We describe in this book the construction of several types of B-spline bases for ap-proximatingboundaryvalue problems. Moreover,we discuss the implementationof spline- › doi › pdf › › fm.

7 Multigrid Methods 26 8 Implementation 29 II Hints 33 1 Introduction 34 2 Basic Finite Element Concepts 35 3 B-Splines 38 4 Finite Element Bases 40 5 Approximation with Weighted Splines 42 6 Boundary Value Problems 44 7 Multigrid Methods 46 8 Implementation 4.

Part I › books › fr26 ›   B-splines have been widely used in various fields of numerical analysis [29,30,31]. Hall studied the cubic B-spline interpolation [32, 33].

There are several papers which study the B-spline FEM [34,35,36,37,38,39]. B-splines have better smoothness than the Hermite type elements, for example, quadratic B-splines are in \(C^{1}(-\infty,+\infty ›. The slide collection is intended only for the use by professors to present lectures based on the SIAM book Finite Element Methods with B-Splines.

No permission is granted for any other use, in particular for making the slide collection or parts thereof available to third parties. Introduction; Basic Finite Element Concepts Model Problem › books › fr26 ›    Curry and Schoenberg (B-Splines) /66 de Casteljau, B´ezier (Automated Design and Manufacturing) Ahlberg, Nilson, and Walsh (first book) * de Boor, Schumaker (Numerical Analysis, Approximation) Dahmen, Michelli (Multivariate Splines) Finite Element Methods with WEB-Splines › publications › oslopdf.

Höllig: Finite Element Methods with Linear B-Splines. Sixth International Conference on Curves and Surfaces, July 5,Avignon, France. Reif: B-Splines as Finite Elements. 7th World Congress on Computational Mechanics, JLos Angeles, › publications.

We discuss the main components of the recently developed FEMB program package, which implements finite element methods with weighted B-splines for basic linear elliptic boundary value problems in two and three :// › doi › › The ideas presented in Finite Element Methods with B-Splines are very interesting, however, given the novelty of the material, its presentation is overly terse even for a monograph.

The author provides a solid list of references, however he relies on them too heavily instead of presenting their ideas in :// › applied.

The finite-element method with B splines is used for definition of vertical operators in the nonhydrostatic fully compressible dynamical core of the ALADIN system. It represents a generalization of the same method used in the hydrostatic dynamical core shared by the ALADIN system and the global forecast system ARPEGE/:// › doi › abs › › MWR-D Multiscale finite element model of a thin square composite plate: (a) macroscopic finite element model; (b) microscopic finite element model.

The central deflections obtained from the developed method, together with those from the experiment [42], the 3-node multilayered triangular element by Argyris and Tenek [43] and the element RDKQ-NL24 by › science › article › pii › SX. He is author of Finite Element Methods with B-Splines (SIAM, ) and coauthor of Box Splines (Springer-Verlag, ).

Jörg Hörner is a Research Associate in the Department of Mathematics at the University of Stuttgart. He develops finite element techniques for NURBS domains and is coauthor of the MATLAB® package  › Books › New, Used & Rental Textbooks › Science & Mathematics. Wu and Zhang introduced quartic B-splines based finite element method to solve the PDE [20].

Two dimensional and three dimensional Poisson equations were solved by different DQ and other numerical › publication › _Finite_Element_Method_by_Using.

Origin of the Finite Element Method G. Strang and G. Fix: "Surely Argyris in Germany and England, and Martin and Clough in America, were among › books › fr26 ›. Cross platform electromagnetics finite element analysis code, with very tight integration with Matlab/Octave.

xfemm is a refactoring of the core algorithms of the popular Windows-only FEMM (Finite Element Method Magnetics, ) to use only the standard template library and therefore be codes can be used as a library, standalone executables, or through the advanced › directory ›?q=finite element method vba.Finite Element Methods with B-Splines: Supplementary Material.

The small collection of MATLAB programs illustrates the methods described in the book. Our examples show that the elegance and efficiency of B-spline algorithms, familiar from numerous applications, also prevail for the numerical solution of partial differential equations. This is due to the exceptionally simple data structure of › software › The concept of spatial discretization is at the core of the finite element method (FEM), see Bathe [10], Belytschko et al.

[18], Hughes [74], Strang et al. [], and Zienkiewicz et al. []: the › publication › _The_Finite_Element_Method.