Boundary Integral Equation Methods For Solids And Fluids

Author : Marc Bonnet
Publisher : Wiley
ISBN 13 : 9780471971849
Total Pages : 0 pages
Book Rating : 4.47/5 ( download)

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Download or read book Boundary Integral Equation Methods for Solids and Fluids written by Marc Bonnet and published by Wiley. This book was released on 1999-07-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method is more appropriate than the finite element method to tackle linear, wave propagation, infinite domain, mobile boundaries and unknown boundaries problems. In some engineering applications, both methods are combined. This book presents the mathematical basis of this method and its computer implementation. Numerous applications to fluid mechanics, mechanics of solids, acoustics and electromagnetism are developed.

Author : Vladimir Kompiš
Publisher : Springer
ISBN 13 : 3709125480
Total Pages : 231 pages
Book Rating : 4.89/5 ( download)

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Download or read book Selected Topics in Boundary Integral Formulations for Solids and Fluids written by Vladimir Kompiš and published by Springer. This book was released on 2014-05-04 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction. Use of Trefftz functions and other regularization approaches to boundary integral equations (BIE), boundary contour and boundary node solution of BIE, sensitivity analysis, shape optimization, error analysis and adaptivity, stress and displacement derivatives in non-linear problems smoothing using Trefftz polynomials and other special numerical approaches are included. Applications to problems such as noise radiation from rolling bodies, acoustic radiation in closed and infinite domains, 3D dynamic piezoelectricity, Stefan problems and coupled problems are included.

Author : H. Power
Publisher : WIT Press (UK)
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.66/5 ( download)

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Download or read book Boundary Integral Methods in Fluid Mechanics written by H. Power and published by WIT Press (UK). This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings together classical and recent developments on the application of integral equation numerical techniques for the solution of fluid dynamic problems.

Author : Balkrishna Shriniwas Annigeri
Publisher : Springer
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.88/5 ( download)

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Download or read book Boundary Element Methods in Engineering written by Balkrishna Shriniwas Annigeri and published by Springer. This book was released on 1990 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : D. B. Ingham
Publisher : Springer Science & Business Media
ISBN 13 : 3642823300
Total Pages : 165 pages
Book Rating : 4.05/5 ( download)

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Download or read book Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems written by D. B. Ingham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.

Author : Barbara S Bertram
Publisher : CRC Press
ISBN 13 : 9781420036039
Total Pages : 380 pages
Book Rating : 4.33/5 ( download)

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Download or read book Integral Methods in Science and Engineering written by Barbara S Bertram and published by CRC Press. This book was released on 2019-05-20 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.

Author : P.K. Banerjee
Publisher : CRC Press
ISBN 13 : 1482296551
Total Pages : 368 pages
Book Rating : 4.56/5 ( download)

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Download or read book Boundary Element Methods in Nonlinear Fluid Dynamics written by P.K. Banerjee and published by CRC Press. This book was released on 1990-05-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume demonstrates that boundary element methods are both elegant and efficient in their application to time dependent time harmonic problems in engineering and therefore worthy of considerable development.

Author : P. Schiavone
Publisher : Springer Science & Business Media
ISBN 13 : 146120111X
Total Pages : 282 pages
Book Rating : 4.13/5 ( download)

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Download or read book Integral Methods in Science and Engineering written by P. Schiavone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will appeal to applied mathematicians, mechanical engineers, theoretical physicists, and graduate students researching in the areas of ordinary and partial differential equations, integral equations, numerical analysis, mechanics of solids, fluid mechanics and mathematical physics.

Author : Yijun Liu
Publisher : Cambridge University Press
ISBN 13 : 0521116597
Total Pages : 255 pages
Book Rating : 4.96/5 ( download)

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Download or read book Fast Multipole Boundary Element Method written by Yijun Liu and published by Cambridge University Press. This book was released on 2009-08-24 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: First book on the fast multipole BEM, bringing together classical theory in BEM formulations and the fast multipole method.

Author : C. Pozrikidis
Publisher : Cambridge University Press
ISBN 13 : 9780521406932
Total Pages : 276 pages
Book Rating : 4.35/5 ( download)

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Download or read book Boundary Integral and Singularity Methods for Linearized Viscous Flow written by C. Pozrikidis and published by Cambridge University Press. This book was released on 1992-02-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.