Finite Element And Boundary Element Techniques From Mathematical And Engineering Point Of View

Author : E. Stein
Publisher : Springer
ISBN 13 : 3709128269
Total Pages : 338 pages
Book Rating : 4.68/5 ( download)

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Download or read book Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View written by E. Stein and published by Springer. This book was released on 2014-05-04 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditional FEM and the more recent BEM underlie many engineering computational methods and corresponding software. Both methods have their merits and also their limitations. The combination of both methods will provide an improved numerical tool in the future. The aim of this book is to present significant basic formulations of FEM and BEM and to show their common practical and mathematical foundations, their differences and possibilities for their combination. These include variational foundations, FEM and BEM for linear and non-linear elasticity and potential problems, the combination of FEM-BEM asymptotic error analysis, modifications due to corner and crack singularities and corresponding improvement of convergence, plastic analysis, numerical algorithms and engineering applications.

Author : C. A. Brebbia
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.23/5 ( download)

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Download or read book The Boundary Element Method for Engineers written by C. A. Brebbia and published by . This book was released on 1984 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : C. A. Brebbia
Publisher : Elsevier
ISBN 13 : 1483102564
Total Pages : 221 pages
Book Rating : 4.66/5 ( download)

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Download or read book Boundary Element Techniques in Engineering written by C. A. Brebbia and published by Elsevier. This book was released on 2016-01-29 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Element Techniques in Engineering deals with solutions of two- and three-dimensional problems in elasticity and the potential theory where finite elements are inefficient. The book discusses approximate methods, higher-order elements, elastostatics, time-dependent problems, non-linear problems, and combination of regions. Approximate methods include weighted residual techniques, weak formulations, the inverse formulation, and boundary methods. The text also explains Laplace's equation, indirect formulation, matrix formulation, Poisson's equation, and the Helmholtz equation. It describes how elements with linear variations of u and q (i.e. linear elements) can be developed for two dimensional problems, as well as for quadratic and higher order elements for two-dimensional problems. The text investigates the Dirac delta function as a sum of Eigen functions, including some methods to determine the explicit form of fundamental solutions for recurrent problems. The book also tackles the application of boundary elements to problems with both material and certain types of geometric non-linearities, and also the applications of boundary elements to plasticity problems. The text is ideal for mathematicians, students, and professor of calculus or advanced mathematics.

Author : L. Ramdas Ram-Mohan
Publisher : OUP Oxford
ISBN 13 : 9780198525226
Total Pages : 628 pages
Book Rating : 4.22/5 ( download)

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Download or read book Finite Element and Boundary Element Applications in Quantum Mechanics written by L. Ramdas Ram-Mohan and published by OUP Oxford. This book was released on 2002 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the finite element and boundary element methods for applications to quantum mechanical methods. It should be useful to graduate students and researchers in basic quantum theory, quantum semiconductor modeling and chemistry.

Author : 3Island Press
Publisher :
ISBN 13 : 9783034876315
Total Pages : 280 pages
Book Rating : 4.19/5 ( download)

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Download or read book Mathematical Theory of Finite and Boundary Element Methods written by 3Island Press and published by . This book was released on 1990-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : C. A. Brebbia
Publisher : WIT Press
ISBN 13 : 1853123498
Total Pages : 327 pages
Book Rating : 4.98/5 ( download)

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Download or read book Boundary Elements written by C. A. Brebbia and published by WIT Press. This book was released on 1994-05-31 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling text provides a simple introduction to the Boundary Element Method. Based on the authors' long teaching experience it is designed to convey in the most effective manner the fundamentals of the method. The book is presented in a way which makes it accessible to both undergraduate and graduate students as well as to practising engineers who want to learn the foundations of the technique. Of particular interest is the way in which Boundary Element concepts are introduced and immediately applied in simple, but useful, computer codes to facilitate understanding. A CD with the complete listing of program codes in Fortran is also included.

Author : C. A. Brebbia
Publisher : Springer
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.09/5 ( download)

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Download or read book Boundary Element Methods in Engineering written by C. A. Brebbia and published by Springer. This book was released on 1982 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : C. A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 3642488609
Total Pages : 479 pages
Book Rating : 4.03/5 ( download)

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Download or read book Boundary Element Techniques written by C. A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.

Author : Marc Bonnet
Publisher : CRC Press
ISBN 13 : 9781584880066
Total Pages : 316 pages
Book Rating : 4.66/5 ( download)

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Download or read book Mathematical Aspects of Boundary Element Methods written by Marc Bonnet and published by CRC Press. This book was released on 1999-08-27 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary element methods relate to a wide range of engineering applications, including fluid flow, fracture analysis, geomechanics, elasticity, and heat transfer. Thus, new results in the field hold great importance not only to researchers in mathematics, but to applied mathematicians, physicists, and engineers. A two-day minisymposium Mathematical Aspects of Boundary Element Methods at the IABEM conference in May 1998 brought together top rate researchers from around the world, including Vladimir Maz’ya, to whom the conference was dedicated. Focusing on the mathematical and numerical analysis of boundary integral operators, this volume presents 25 papers contributed to the symposium. Mathematical Aspects of Boundary Element Methods provides up-to-date research results from the point of view of both mathematics and engineering. The authors detail new results, such as on nonsmooth boundaries, and new methods, including domain decomposition and parallelization, preconditioned iterative techniques, multipole expansions, higher order boundary elements, and approximate approximations. Together they illustrate the connections between the modeling of applied problems, the derivation and analysis of corresponding boundary integral equations, and their efficient numerical solutions.

Author : Gernot Beer
Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.67/5 ( download)

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Download or read book Introduction to Finite and Boundary Element Methods for Engineers written by Gernot Beer and published by . This book was released on 1992 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses simple engineering terms to describe which types of problems can best be solved with each method, combining the two and the applications for which this might be suitable. Features a chapter devoted to the construction of finite and boundary element meshes, error analysis and confidence criteria. Contains a slew of practical applications.