1st Ed., Springer, 2008. - 494 pp. - ISBN-10: 3211715746 This is a thorough, yet understandable text about the boundary element method (BEM), an attractive alternative to the finite element method (FEM). It not only explains the theory, but also deals with the implementation into computer code written in FORTRAN 95 (software can be freely downloaded). Applications range from potential problems to static and dynamic problems in elasticity and plasticity. The book also addresses the issue of fast solution of large scale problems, using parallel processing hardware. Special topics such as the treatment of inclusions, heterogeneous domains and changing geometry are also addressed. Most chapters contain exercises and this makes the book suitable for teaching. Applications of the method to industrial problems are shown. The book is designed for engineers and scientists that want to understand how the method works and to apply the method and solve real problems.
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Canada, University of Ottawa, 2009, 189 p.
Учебник по численным методам с примерами на Matlab. Хорошо изложено "Численное дифференцирование и интегрирование" ( "Numerical Differentiation and Integration"). Глава 6 ("The Matlab ODE Suite"), написанная на основе известной статьи авторов, посвящена сравнению Matlab-программ для решения обыкновенных дифференциальных уравнений....
CRC Press, 2013. — 487 pages. — ISBN-10: 1466580208
There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method...
Berlin Heidelberg: Springer-Verlag, 2013. 402 p. — ISBN: 3642332862.
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise...
Cambridge University Press, 2007. — 1262 p.
William H. Press - Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin
Saul A. Teukolsky - Hans A. Bethe Professor of Physics and Astrophysics Cornell University
William T. Vetterling - Research Fellow and Director of Image Science ZINK Imaging, LLC
Brian P. Flannery - Science,...
Springer, 2010. - 500 pages.
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in R^
3. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3....
5 edition. — Wiley, 2013. — 682 p.
Many students, engineers, scientists and researchers have benefited from the practical, programming-oriented style of the previous editions of Programming the Finite Element Method, learning how to develop computer programs to solve specific engineering problems using the finite element method.
This new fifth edition offers timely revisions...